Solve the exponential equation: 6^(-2x) = 6^(2-3x)OA) -2OB) 3OC) 4OD) 2

Investigator asked Jun 2, 2023

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Investigator asked Jun 2, 2023

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24 votes

Solution

Step 1

$6^(-2x)\text{ = 6}^(2-3x)$

Step 2

Since the bases are equal, equate the exponent.

$\begin{gathered} -2x\text{ = 2 - 3x} \\ \\ -2x\text{ + 3x = 2} \\ \\ x\text{ = 2} \end{gathered}$

Final answer

x = 2

Option D

Pykam answered Jun 6, 2023

by Pykam

2.1k points

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