Question

How do you solve `6^(-2a) = 6^(2-3a)`?

Answer 1

`6^(-2a)=6^(2-3a)`

`a^b=a^c => b=c`

Just solve

`-2a=2-3a`

`a=2`

Answer 2

`a=2`

Explanation:

`1`. Since the bases are the same on both sides of the equation, the exponents are equal to each other. We can represent this relationship using an equation.

`6^color(blue)(-2a)=6^color(orange)(2-3a)`

`color(blue)(-2a)=color(orange)(2-3a)`

`2`. Solve for `a`.

`-2a` `color(red)(+3a)=2-3a` `color(red)(+3a)`

`color(green)(a=2)`