Question

Hi are you able to solve it by using a step called exponential equations?

Answer 1

Given the equation:

$6^{2-3x}=6^{-2x-2}$

since both bases are 6, we can equate both exponents to get the following equation:

$2-3x=-2x-2$

solving for x, we get:

$\begin{gathered} 2-3x=-2x-2 \\ \Rightarrow-3x+2x=-2-2=-4 \\ \Rightarrow-x=-4 \\ \Rightarrow x=4 \end{gathered}$

therefore, the solution of the equation is x = 4