Evaluate the following logarithms. log12144 = log151 = log3 ( 1 81 ) = log 0.00001 =

Answers

Answer 1

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

Answer 2

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

What is Logarithm?

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

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Related Questions

Rational Expressions Multiplying I need to know how to do it

Answers

Answer:

  (x -3)/4

Step-by-step explanation:

You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.

  [tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]

We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.

1. 4x + 5
2.8x - 3
3. 1/2x - 4
4. 0.5x +3.5

Answers

4x + 5: m = 4

8x - 3: m = 8

1/2x - 4 = x/2 = -4

0.5x + 3.5: m = 0.5

What is 1 1/5 as a decimal

Answers

Answer:

1.2

Step-by-step explanation:

1/5 = 0.20

1.2

Hope this helped!

Answer:

Step-by-step explanation:

2.2

Read the sentence. The person on trial for theft was found guilty by a jury, and once a jury announces a verdict, that decision is final. Which word in the sentence is the best clue to defining the word verdict?
A. theft
B. guilty
C. jury
D. decision

Answers

Answer:

The answer that yoy are looking for is D

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

D

Step-by-step explanation:

I did the quiz on edge

What percent of 72 is 9?

18%

114%

1212%

125%

Answers

Answer:

125%

Step-by-step explanation:

i have an answer of that

9/72 x 100%
= 12.5 %

i need help with my math asap

Answers

Answer:

Q2. yards/ second= 92/8 = 11.5

Q3. 192/6 =32

Q4 123/15 =8.2

Q5. 192/3 =64

remember you need to add the unit

Step-by-step explanation:

type the dimensions of a different shaped box that has the same volume

Answers

Step by Step Explanation:

120ft³ = 3ft × 4ft × 10ft

120ft³ = 1ft × 1ft × 120ft

120ft³ = 2ft × 2ft × 30ft

120ft³ = 5ft × 3ft × 8ft

...

Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.

A rectangular bathroom mirror is 2 feet tall and 10 feet wide. What is its perimeter?

Answers

The perimeter is the all the side's lengths added up together

 -- so:   Perimeter = 2 + 10 + 2 + 10 = 24 feet

Hope that heped!

can someone pls solve 8 < 4r < 12

Answers

8 < 4r < 12

Solve for r by dividing all terms by 4:

2 < r < 3

Evaluate x+y
when x=−4/5
and y=1/3
. Write your answer as a fraction or mixed number in simplest form.

Answers

Answer:

4/5+1/3=1 2/15

Step-by-step explanation:

This is the answer and the process of the problem

help, please see picture, and explain: no decimals please,​

Answers

[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]

[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]

[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]

help me please on this question

Answers

Answer: 50

Step-by-step explanation:

equation is 5x-40+150=360

combine like terms = 5x+110=360
Subtract 110 from both sides = 5x=250
x=50

olivia is looking at a map with a scale of 1cm : 18km. if the actual area of a farm is 2106 km (squared), what is the area of the farm on the map?

Answers

1 cm.......18 km

so area

1 cm² = 18x18 = 324 km²

n cm² = 2106 km²

324 x n = 1 x 2106

n = 2106 : 324 = 6,5 cm²

What is the probability of rolling a number less than 3?

Answers

Answer:

2/6

Step-by-step explanation:

possible outcomes are 1, 2, 3, 4, 5, and 6. since there are 6 outcomes its out of 6. less that 3 is 1 and 2. 2/6

1/3

John changes £450 to euros.
The exchange rate is £1 = 1.16 euros.
Change £450 to euros.

Answers

450 x 1.16 = 522

The answer is 522 euros.

A boat travels 452 km in 17 hours (with a constant speed). How far can it travel in 9 hours (with the same speed)?

Answers

Answer:

so first we have to find km per hour

so lets divide 452/17=26.5882352941

so it travels 26.6 km per hour so lets mulitply for the 9 hours

26.6*9=239.4

it can travel 239.4 km in 9 hours

Hope This Helps!!!

name a pair of angles that are a linear pair.​

Answers

Answer:

D: PUR and SUR

Step-by-step explanation:

A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.

The answer is D) <PUR and <SUR

A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles  formed by two intersecting lines.

For rhis problem you will have to simplify correctly .

Answers

Answer:

Step-by-step explanation:

Answer:

The mistake was -9, the answer is 1x -6

Step-by-step explanation:

3 (x - 6) + (4x + 12) - 6x =

3x - 18 + 4x + 12 - 6x = (use distributive property for this step)

3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)

1x - 6 (use addition and subtraction to get the final answer)

I hope this helps you :)

Pleaseee helppp me question 2 !!!

Answers

Answer:

2.is a function

Domain:(0,1,2,3)

Range: (0,-1,-2,-3)

3. Not a function

4. Is a function

D:(0,1,2,3)

R:(1,2,3,4,)

2 is a function. The domain is 0,1,2,3. The range 0,-1,-2,-3

In the function f(3) = 9 the input is

Answers

Answer:

Your answer is 3

Step-by-step explanation:

3 x 3 = 9

Answer:

The answer is 3 like so take 9÷3=3 or 3x3=9.

A pet store is advertising that everything is 20% off the entire weekend. You also have a coupon for an additional 10% off your entire purchase after any store discounts. If the total bill is $56 before any discounts are applied, what will you pay after the discounts are applied?

What is the amount of the 20% discount? $______

What is the bill after the 20% discount? $______

What is the amount of the additional discount of 10%? $_______

What is the final cost after the additional discount? $_______

Answers

Answer:

The 20% discount is $11.2, the total after the discount is $44.8, the 10% discount is $4.48, the total after that discount is $40.32

What is the total price of a $5 book with a 10% sales tax?

Answers

$5.50 or 5 dollars and 50 cents

coffe beans are packaged in 50 kg cartons with an allowable error of 0.7 percent what is the acceptable weight range for a carton of coffee beans?​

Answers

Answer:

0.35

Step-by-step explanation:

you mutiply 50 times 0.7%

Answer:

It is 50.35 kg

Step-by-step explanation:

50 x 0.007 = 0.35 (I used 0.007 because you still have to move the decimal point two places even if it is already a decimal)

0.35 + 50 = 50.35 kg

I hope my answer helps :)

4. You put $420 into a savings account with an interest rate of 8% compounded annually which earns $33.60 over a period of time. How long was the period of time?


(how to find compound interest time)​

Answers

Answer: 1 year

Step-by-step explanation:

[tex]\mathrm{Compound \ Interest \ Formula}\\$$\begin{aligned}&A=p\left(1+\frac{r}{n}\right)^{n t} \\&A=420+33.60=\$ 453.60 \\&p=\$ 420 \\&r=8 \% \\&n=1\end{aligned}$$[/tex]

[tex]\mathrm{Solving \ for \ t:}[/tex]

[tex]$$\begin{gathered}453.60=420\left(1+\frac{8}{100}\right)^{1 . t} \\453.60=420\left(\frac{108}{100}\right)^{t} \\\frac{453.60}{420}=\left(\frac{108}{100}\right)^{t} \\1.08=(1.08)^{t}\end{gathered}[/tex]

[tex]\mathrm{Taking \ log \ of \ both \ sides}\\\log 1.08=\log (1.08)^{t}$ \\\log 1.28=t \log (1.08)$ \\1=t$ \\$t=1$\\[/tex]

Therefore, the period of time taken to earn $33.60 was 1 year

What is the overlap of Team 1 and Team 2? high medium low none.

Answers

The overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

What is dot plot?

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axes. The dot plot is also known as the strip plot.

Figure of the dot plot of the team 1 and team 2 is attached below. The overlap of the team 1 and the team 2 has to be found out.

The overlaps mean in the dot plot is height, which both the graphs of dot plot have in same.

In the attached image, it seen that the overlap of the team one and team 2 is higher.

Hence, the overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

Learn more about the dot plot here;

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My car travels at 600 miles in 4 hours, my is my cruising speed. This is a science question but it has math so please help

Answers

Answer:

yikes 150mph

Step-by-step explanation:

sioban scores 4 out of 10 marks in a science test

what is her score as a percentage

Answers

Answer:

40%

Step-by-step explanation:

4/10 = 40/100 = 40%

If you need further explanation, let me know!

- profparis

Write the converse of the following statement and determine its truth value.
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

Answers

Answer:

1) The convers of the conditional statement is;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) The convers of the conditional statement is true

Step-by-step explanation:

1) The given statement is presented as follows;

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

The hypothesis = A class has 3 left-handed people and 24 right-handed people = p

The conclusion = The ratio of lefties to righties is 1:8 = q

We have;

If p, then q which is p → q

The converse statement = If q, then p which is q → p

Then the converse of the conditional statement can be written as follows;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.

PLZ HELP!!!

A bag has 10 marbles-3 red, t blue, and 2 violet. One marble is drawn and then replaced, and this action is repeated 10 times. The results are recorded in the table.

Which of the given statements is true?

A.) The experimental probability of drawing blue is 1/2
B.) The experimental probability of drawing red is 1
C.) The experimental probability of drawing red is 1/10
D.) The experimental probability of drawing violet is 0​

Answers

A because there are more blue than red and violet.

The experimental probability of drawing blue is 1/2. Then, option A is correct.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.

The probability is calculated as:-

P = 5 / 10 = 1 / 2

To know more about probability follow

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solve pls brainliest

Answers

I believe the answer is 21/32

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