Question

How do you solve `7^(x– 5) = 7^(4x + 7)`?

Answer 1

`color(blue)(x=-4`

Explanation:

`7^(x–5)=7^(4x+7)`

Here, as the bases are common we can equate the powers to obtain `x`

`x–5=4x+7`

`–5-7=4x -x`

`3x=-12`

`color(blue)(x=-4`