116,725 views
29 votes
29 votes
Solve the exponential equation: 6^(-2x) = 6^(2-3x)OA) -2OB) 3OC) 4OD) 2

User Investigator
by
2.7k points

1 Answer

24 votes
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

User Pykam
by
2.1k points