Question

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

Answer 1

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