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Given that $27^{2x+4}=3^{4x+8}$ , what is the value of x?

Answer Choices

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A

-4

-2

Correct

C

0

D

2

E

4

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Explanation

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Official Explanation

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Starting with the equation

27^{2x+4}=3^{4x+8}

, we can rewrite

27

as

3^3

. Thus, we have

(3^3)^{2x+4}=3^{4x+8}

. This simplifies to

3^{3(2x+4)}=3^{4x+8}

. Since the…

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2

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M

MichoFeb 26, 2025

Amazing

A

anjaliFeb 2, 2024

thanks a lot

Given that $27^{2x+4}=3^{4x+8}$ , what is the value of x?

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Given that 272x+4=34x+827^{2x+4}=3^{4x+8}272x+4=34x+8, what is the value of x?

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Given that $27^{2x+4}=3^{4x+8}$ , what is the value of x?