If ( 45)^n=( 54)^3, what is the value of n?

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If $(\frac{4}{5})^n=(\frac{5}{4})^3$ , what is the value of n?

Answer Choices

Correct answer marked below

-3

Correct

B

-2

C

-1

D

0

E

3

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Official Explanation

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Given that

(\frac{5}{4})^3=(\frac{4}{5})^{-3}

, we can rewrite the equation as…

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T

TanApr 27, 2024

thanks a lot

S

SRISHTIOct 21, 2024

good question

If $(\frac{4}{5})^n=(\frac{5}{4})^3$ , what is the value of n?

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If (45)n=(54)3(\frac{4}{5})^n=(\frac{5}{4})^3(54​)n=(45​)3, what is the value of n?

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Official Explanation

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If $(\frac{4}{5})^n=(\frac{5}{4})^3$ , what is the value of n?