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