The logarithmic property
[tex] log_{b}(m) - log_{b}(n) [/tex]
=
[tex] log_{b}( \frac{m}{n} ) [/tex]
can be proven by using which exponential property. ​

Answers

Answer 1

Answer:

using divisional law of indices logab-logan=log(b/n)therefore logbM-logbN=logb(M/N)


Related Questions

Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
quarters does Veronica have?

Answers

The answer to your question is 4.11 if I’m correct

1 A parallelogram has base 7.3 mi and height 3.1 mi. What is its area? A 22.63 mi? B 1116 mi? C 26.28 mi? D 21.8 mi?​

Answers

Answer:

A) 22.63

Step-by-step explanation:

Well as we all know to find the area of a  parallelogram u have to multiply Base by Height = Area ; Base×Height=Area

As so:    7.3×3.1=22.63

Final answer 22.63

the relationship between altitude and the boiling point of a water and liquid is in the new year at an altitude of 8000 feet the liquid boils at 204.4 degrees Fahrenheit
at now altitude of 4300 feet ,the liquid boils at 208.84 degrees Fahrenheit. write an equation given the boiling point B of the liquid in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of a liquid at 2500 ft?​

Answers

Answer:

Boiling B would probaly Have

a huge impact on the answer

Step-by-step explanation:

Solve for d.
5 + d > 5 – d

Answers

Answer:

d > 0

Step-by-step explanation;

4/n = 4/5

Please provide best answer:

A: n = 5
B: n = 5/16
C: n = 3 1/5
D: n = 50​

Answers

Answer:

[tex]\huge\boxed{\sf n = 5}[/tex]

Step-by-step explanation:

[tex]\sf \frac{4}{n} = \frac{4}{5} \\\\Cross \ Multiplying \\\\n * 4 = 4*5\\\\Divide \ both \ sides \ by \ 4 \\\\\frac{n*4}{4} = \frac{4*5}{4} \\\\n = 5 \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

n = 5

Step-by-step explanation:

[tex] \frac{4}{n} = \frac{4}{5} [/tex]

Dividing 4 on both the sides gives ,

[tex] = > \frac{4}{n} \div 4 = \frac{4}{5} \div 4[/tex]

[tex] = > \frac{4}{n} \times \frac{1}{4} = \frac{4}{5} \times \frac{1}{4} [/tex]

Cancelling 4 from numerator and denominator from both the sides ,

[tex] = > \frac{1}{n} = \frac{1}{5} [/tex]

Cross-multiplying the denominators of both sides,

[tex] = > n = 5[/tex]

Ppls help i give brainlist

Answers

im guessing the table goes 3 6 9 then
5 10 15

Four less than the product of 2 and a number is the same as negative eightteen. Find the number

Answers

Answer:

12

Step-by-step explanation:

4-2x=-18

-4        -4

-2x=-24

-2      -2

x=12

Write the first three terms in the sequence given by the formula an = 8n + 4

Answers

Answer:

[tex]a_{1}[/tex] = 12

[tex]a_{2}[/tex] = 20

[tex]a_{3}[/tex] = 28

Step-by-step explanation:

In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.

[tex]a_{1}[/tex] = 8 x 1 + 4

[tex]a_{1}[/tex] = 8 + 4

[tex]a_{1}[/tex] = 12

Then.......

[tex]a_{2}[/tex] = 8 x 2 + 4

[tex]a_{2}[/tex] = 16 + 4

[tex]a_{3}[/tex] = 20

And finally .......

[tex]a_{3}[/tex] = 8 x 3 + 4

[tex]a_{3}[/tex] = 24 + 4

[tex]a_{3}[/tex] = 28

For a moving object, the force acting on the object where is directly from the objects acceleration. When a force of 21 N Acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the force?

Answers

Answer:

[tex]F = 27N[/tex]

Step-by-step explanation:

Given

Force directly proportional to acceleration

Force = 21N when Acceleraion = 7m/s^2

Required

Determine the force when acceleration = 9m/s^2

The variation between force (F) and acceleration (A) implies that:

[tex]F\ \alpha\ \ A[/tex]

Convert to an equation

[tex]F = mA[/tex]

Where m is constant.

When F = 21 and A = 7, we have:

[tex]21 = m * 7[/tex]

Solve for m

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

When A = 9

Substitute 9 for A and 3 for m in [tex]F = mA[/tex]

[tex]F = 3 * 9[/tex]

[tex]F = 27N[/tex]

You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.

Answers

Answer:

x= -4 & y=-12

Step-by-step explanation:

multiply y=3x by 2

giving you 2y=6x

subtracting 2y=x+20 from 2y =6x

=> 5x=-20

dividing through by 5

=> x=-4

put x=-4 into y=3x

=> y=3(-4)

y=-12

Matt is making cookies. He adds 3/4 of a cup of sugar to a bowl. He then removes two 1/8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?
3/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
3/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8

Answers

Answer:

4/8 because 3/4 - 2 × (1/8) = 3/4 - 2/8

Step-by-step explanation:

4/8, because 3/4-2*(1/8)=3/4-2/8

3/4 is equal to 6/8
2 1/8s is equal to 2/8
Subtract:
6/8-2/8=4/8 simplify (both have a GCF of 4) (4/8)/4=1/2

Will give brainleist PLEASE HELP ASAP
Sorry if it’s a bit blurry

Answers

Answer:

too blurry, I cant see the numbers

Answer:

X=5

Step-by-step explanation: I have attached my full work, but essentially, it is important to understand that all angles in a triangle equal 180 degrees. Also, we know that angles that form a line equal 180 degrees, so we can solve for the unknown by setting all of the angles in the triangle to 180 degrees to get an algebraic equation.

Please help I keep on watching the vids but I’m not understanding

Answers

Answer:

3053.63 yd^3

Step-by-step explanation:

There is a formula to this, the formula goes,V=4/3πr^3, you subsitute, 9 in for r, cube "r", and do 9*3.14 or whatever you use for PI, and then you times that by 4/3.

Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1?
O (1,1)
O (1.4)
0 (4,1)
O (4,4)

Answers

Answer:

it would be 4,1

Step-by-step explanation:

because its the only one that startes with 4 and ends with 1

Which numbers are factors of 16? Check all that apply.
o 2
o 3
o 4
o 8
o 16
o 32

Answers

Answer:

2,4,8,16

Step-by-step explanation:

2*8=16

4*4=16

8*2=16

16*1=16

those are the numbers you have that can give u 16 but with 3 and 32 no

Hope this helped!

Answer:

2,4,8,16

Step-by-step explanation:

That’s your answer

???? Help me and I’ll mark as brainliest

Answers

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Solve to find the area:

Answers

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Triangle: A = 1/2bh

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A

Substitute [Area]:                    A = 1/2(8 cm)(4 cm)Multiply:                                   A = (4 cm)(4 cm)Multiply:                                   A = 16 cm²

Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?

Answers

Answer:

$777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

Step-by-step explanation:

8/100*720=5760/100

=$57.6

$720-$57.6=$662.4

she will pay back $662.4.

Jayson can make 4/5 of a 5 layers cake in 15 minutes. At this rate, how many cakes can Jayson make in 1 hour?

Answers

Answer:

3.2 cakes a hour

Step-by-step explanation:

Find -(-14).
—14
-4
4
14

Answers

Answer:

Step-by-step explanation:

minus in front of a minus=+

14

Answer:

D. 14

Step-by-step explanation:


evaluate (12÷x)+3^2 when x =4​

Answers

Answer:

12

Step-by-step explanation:

12/4=3

3^2=9

3+9=12

-3x+2y=-17,-6x+3y=-30 using elimination

Answers

Answer:

x= 3, y= -4

Step-by-step explanation:


write the slope intercept form of the equation of each line just need help with 1 to undersand the subject. i will do the rest :)
EXPLAIN YOUR ANSWER OR I WILL NOT MARK BRAINLIEST AND I WILL REPORT​

Answers

3x-2y=-16

slope intercept form is y=mx+b

move 3x to the other side

sign changes from +3x to -3x

3x-3x-2y=-3x-16

-2y=-3x-16

divide both sides by -2 to get y by itself

-2y/-2=-3x/-2-16/-2

y=3x/2+8

answer:

y=3x/2+8

You are Christmas shopping and your bill at the register is $130. You have two coupons, but you are only allowed to use one. Coupon 1 is for 10% off. Coupon 2 is for $10 off. Answer the following question 7a-7b-7c

Answers

Answer:

the answer is 10 percent off because that is 13 dollars

Step-by-step explanation:

if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

Answers

Answer:

The unit rate per week is $4.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

The answer is 4

He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground.



How much work is Thomas doing to pull the wagon?

10,000 foot-pounds
8,660 foot-pounds
7,070 foot-pounds
5,000 foot-pounds

Answers

Answer:

It’s b

Step-by-step explanation:

Answer:

B on edge

Step-by-step explanation:

A. 3(x+2) = 18
T + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Answer:

It's 4 I hope this helped.

If I subtracted 2 from 6 in Equation B. I would get 4. Putting 4 to replace the x in Equation A, it makes the equation make sense.

Step-by-step explanation:

3 ( 4 + 2 ) = 18

4 + 2 = 6

NEED HELP!!!!!!!!!!!!!

Answers

The answer to your question is DG.

Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?

Please help me fast!!

Answers

Answer:

4 bags of purple beads and 3 bags of indigo beads.

Step-by-step explanation:

Total number of beads = 21 beads'

Total bags of beads = 4 bags

Purple beads = 3 purple beads

Indigo beads = 6

Let x be each bags of purple beads

Let y be each bags of indigo beads

Since there are 4 bags of bead then;

x + y = 4 ....1

If some of the bags contain 3 purple beads and the rest contain 6 indigo beads, then;

3x + 6y = 21

x + 2y = 7.....2

Subtract 1 from 2

y - 2y = 4 - 7

-y = -3

y = 3

Sunce x + y =7

x = 7-y

x = 7-3

x = 4

Hence there are 4 bags of purple beads and 3 bags of indigo beads.


HELP ME PLZ
Determine the measure of each numbered angle.
365
2.
3
4.
40°
5
20°
6

Answers

Answer:

1=50

2=130

3=50

4=130

5=40

6=30

Step-by-step explanation:

Remember a straight line is 180 degrees and the interior of a triangle always equals to 180 degrees

Hope this Helped! :D

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