Question

How do you solve `3^(x-7)=27^(2x)`?

Answer 1

`x=-7/5`

Explanation:

Since `27=3^3`,

you can rewrite:

`3^(x-7)=(3^3)^(2x)`

`3^(x-7)=3^(6x)`

that's

`x-7=6x`

`5x=-7`

`x=-7/5`