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3 years ago

Find each quotient. Write in simplest form. keep answer as fraction - not decimal

Mathematics

1 answer:

barxatty [35]3 years ago

8 0

mn^2 / 4 divided by m^2n / 8

is simplified to

2n / m

:)))

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

Jason needs to explain to his class how to use mental math to find the product of 400,000×50,000 how would u explain that

elena55 [62]

You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.

4 0

3 years ago

Use Pythagorean Theorem to solve #1

denpristay [2]

The answer is 6the answer is 63

6 0

2 years ago

Read 2 more answers

Volume of cylinder pi 3.14 r 8mm h 42mm

ad-work [718]

Answer:

V≈8.44×10-6m³

r Radius

h Height

Unit Conversion:

r=8×10-3m

h=0.042m

Solution

V=πr2h=π·8×10-32·0.042≈8.4446×10-6m³

Step-by-step explanation:

6 0

3 years ago

How do you work this 68.32/2.8=

timurjin [86]

It will be 24.4
I hope this helps

4 0

2 years ago