Question

How do I find the solution to `8^(x-1) - 2^-x` ?

Answer 1

`x=3/4`

Explanation:

`"express "8^(x-1)" in base 2"`

`rArr(2^3)^((x-1))=2^(-x)`

`rArr2^(3x-3)=2^(-x)`

`"we can now equate the exponents"`

`rArr3x-3=-x`

`rArr4x=3rArrx=3/4`