Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Answers

Answer 1

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer 2

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.


Related Questions

A basketball player makes 65% of all free throws
in her first 5 seasons. In her 6th season she
makes 105 out of 150 free throws. How does the
observed frequency of her 6th season compare
to the expected frequency? Provide a possible
explanation for any similarities or differences in
the frequencies. 7.50.3.7

Answers

Answer: The relative frequency of an event is the ratio of the number of times an event happens to the number of times the event is attempted. Relative frequencies are often used in decision making and to predict outcomes. Relative frequencies are based on data previously collected and recorded. Probabilities are based on assumptions.

75 •

.75 =

.5625

.75 •

.75 •

.75 =

.4219

(i'm sorry if i'm wrong)

please help me solve this anyone! plz don’t guess just for points this was due a few weeks ago and i have to have good grade

Answers

Answer:

[tex] - 23[/tex]

Step-by-step explanation:

Substitute -3 for X in the expression then solve.

Answer:

-23

Step-by-step explanation:

They give us the variable's value, which is [tex]x=-3[/tex]. All we have to do from here is plug it into the expression that they gave us!

So, let's do exactly that! The expression that they gave us is [tex]5x-8[/tex], and we know the value of x because they gave it to us!

Let's plug it in.:

[tex]5(-3)-8[/tex]

Let's follow P.E.M.D.A.S. and our order of operations to determine what to do first. Since we have multiplication going on within parenthesis, let's do that first.

[tex]5(-3)=-15[/tex] because a negative number times a positive number equates to a negative number. Now, we have the following expression: [tex]-15-8[/tex]

Let's subtract this now! Remember, subtracting a number from another number is basically adding the opposite of the second number; essentially, you're following keep, change, flip. You keep the first number without doing anything to it, you change the sign of the operation, and you flip the sign of the 2nd number. Let's revise this problem now with these rules.: [tex]-15 + (-8)[/tex], now we have something that we can work with! Since both numbers are negative and are being added, we keep the sign, and just add their absolute value, leaving us with the expression being -23.

Solve me this please
X=33500+0,2Y
Y=26500+0,1X

Answers

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]

Consider (ii)

[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]

Multiply 10 on both sides , we get

[tex]10Y-X=265000 (iii)[/tex]

Add (i) and (iii)

[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]

Put this in (i)

[tex]X= 33500+0.2(373125) =108125[/tex]

Hence, X= 108125 and  Y  = 373125.

9 lb 4 oz - 2 lb 12 oz with regrouping

Answers

Answer:

6 LB 12 OZ

Step-by-step explanation:

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Answer:

6lb 8oz

Step-by-step explanation:

9lb 4oz

+16

8lb 20 oz

-2 lb 12oz =

A toy marks down every toy by 25% in January. Use p for the price in December to write an expression of the price in January? ​

Answers

Answer: since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation: I got this from a friend. But I hope this helps! <3

i need a step by step explanation

Answers

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

24.39 is 9% of what number..........................

Answers

Answer:

271

9 percent (calculated percentage %) of what number equals 24.39? Answer: 271.

Step-by-step explanation:

Answer:

2.19 I think. Hopefully this helps. You first turn 9% into a decimal, which is 0.09. Then multiply by 24.39, which is 2.19. You can also use the friendly percentage, 10%.

I don't know if this is correct because I'm not too sure, but I hope this helps.

Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)

Answers

Answer:

[tex]\boxed{0}[/tex]

Step-by-step explanation:

x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)

x² =  (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)

x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)

x² = 0

x = 0

Answer:

t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h

Step-by-step explanation:

fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih

Which graph represents this system? y = 3. x + y = 4.

Answers

Answer:

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

Step-by-step explanation:

What is the Inverse function of F(x)=3x²?

Answers

Answer:

f⁻¹(x) = x+2 / 3

Step-by-step explanation:

i dont have one. i just did it.

which number completes the inequality?​

Answers

Answer:

1.08

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1.01<1.08<1.17<1.20

Evaluate the following expression.
(-5+7 x 1)-9x5

Answers

Answer:

Step-by-step explanation:

43

The answer is -43 ......

Lisa is playing a video game in which she takes care of cats and dogs. She takes care of 4 cats for every 1 dog. If Lisa takes care of 12 cats in the game, how many animals dose she take care of altogether?​

Answers

Answer:15 animals altogether
Explaination: But because it is
15 animals and I think she cares for 3 dogs

Dario spends 3 1/2 hours on the phone with technical support and pays $10. What is his unit rate?

Answers

Answer:

20/7 dollars per hour

Step-by-step explanation:

He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.

10 / (3 1/2) =

10 / (7/2) =

(10/1) x (2/7) =

20/7

Find the p value for a right tailed test about a mean with n=36 and test statistic t=46.2766 at 90% confidence level

Answers

Answer:

b

Step-by-step explanation:

How do I factor the quadratic 45x^2+46x-63 ?

Answers

Answer:(9x-7) (5x+9)

What is this please help

Answers

The answer is YES because the solution will be 4

graph the image of triangle UVW after a reflection across the line x = -1

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is.

Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection:

  (x, y) ⇒ (-2-x, y)

  U(-8, -6) ⇒ U'(6, -6)

  V(-3, -6) ⇒ V'(1, -6)

  W(-4, -1) ⇒ W'(2, -1)

Find the area of the shape shown below

Answers

Answer:

26.75 units²

Step-by-step explanation:

Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.

Find the area of each then sum all together to get the area of the figure.

✔️Area of Triangle 1 (the biggest triangle):

Area = ½*base*height

height = 3.5

base = 2 + 2 + 5 = 9

Area = ½*9*3.5 = 15.75 units²

✔️Area of Triangle 2 (the medium triangle):

Area = ½*base*height

height = 2

base = 5

Area = ½*5*2 = 5 units²

✔️Area of Triangle 3 (the smallest triangle):

Area = ½*base*height

height = 2

base = 2

Area = ½*2*2 = 2 units²

✔️Area of the square:

Area = s²

s = 2

Area = 2² = 4 units²

✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²

Rewrite the equation y-31x= 93 as a function of x?
Pls answer quick pls.

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?

Answers

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

Big points and Brainliest look at the attachment pretty ez

Answers

Answer:

D. 2 1/4

Step-by-step explanation:

(99/8)/(11/2)

(99/8)*(2/11)

(9/4)*(1/1)=9/4

9/4=2+1/4

use mathematical language to decribe three different patterns in the following triangle.

Answers

Answer:

What's the triangle though?

Step-by-step explanation:

Answer:

Not enough Data

Step-by-step explanation:

The prices for a couch, love seat, and chair are $789, $605, and $284. If the total tax paid is $100.68, which amount is closest to the total cost, in dollars, for all three pieces?

Answers

Answer:

1778.68 I think

Step-by-step explanation:

Answer:

605

I just got confused sorry.

In a class of 32 students for students were home sick with the flu on Thursday what percent of the students were absent on Thursday

Answers

Answer: 12.5%

Explanation: You have to divide the numerator (4) by the denominator (32), and move the decimal point two places to the right to change from a decimal to a percentage.
4 ÷ 32 = 0.125 (or 12.5%)

Use the ALEKS graphing calculator to solve the system of equations.
y=-2x² - 4x-1
y = 3x+10
Round to the nearest hundredth.
If there is more than one solution, use the "or" button.
If applicable, click on "No solution".
(x, y) = (0
or
No
Solution
X
$
?

Answers

Answer:

This system has no solution in the set of real numbers.

Answer:

No solution

Step-by-step explanation:

The equations given are ;

y=-2x² - 4x-1

y = 3x+10

Using a graphing tool, the graphs of the equations are as shown in the attached.

From the graph, a solution occurs where the two graphs intersect. However, in this case, the graphs do not intersect hence there is no solution.

Solve this radical equation:



Answers

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Given,

[tex] \sqrt{x + 11} - x = - 1[/tex]

To Find:

Value of x

Solution:

Square both sides, then solve.

[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]

[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]

[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]

[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]

[tex] \rm \implies1+x {}^{2} −3x=11[/tex]

[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]

[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]

Factor the LHS

[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]

Bring terms equal to 0, that is

[tex] \implies \rm(x - 5) = 0[/tex]

Solve for x

[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]

AND set x+2 equal to 0,

[tex] \rm\implies \: x + 2 = 0[/tex]

Solve for x

[tex] \rm \implies \: x = - 2[/tex]

So the possible two values are 5 & -2.

But, after plugging the values for verifying each,the most accurate is 5.

So, the value of x is 5.

2(3j + 3) = 3(2 + 2j)

Answers

Answer:

infinitely many solutionsthe solution is any real number

[tex]\huge\boxed{j\in\mathbb{R}}[/tex]

Step-by-step explanation:

[tex]2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}[/tex]

please help with this question (d+2)(-7)

Answers

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

The answer is -7d - 14!

Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)

B.6(7+15)

C.7(6+12)

D.6(36+84)

Answers

It is b
6*7=42 and
6*15=90

Answer:

B

Step-by-step explanation:

42 + 90 = 132 > 6(7+15) > 6*22=132 > 6(7 + 15)= 132

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