Question

How do you solve the exponential equation `8^(5x)=16^(3x+4)`?

Answer 1

`implies x = 16/3`

Explanation:

`8^(5x)=16^(3x+4)`

`implies (2^3)^(5x)=(2^4)^(3x+4)`

`implies 2^(15x)=2^(4(3x+4))`

`implies 15x = 12x+16`

`implies x = 16/3`