Question

Please solve 16^(1-x)=(1)/(8)? Thank You

Solve for x.

Answer 1

`x=7/4`

Explanation:

`"express both sides in "color(blue)"base 2"`

`rArr(2^4)^(1-x)=2^-3`

`rArr2^((4-4x))=2^-3`

`"since the bases are equal we can equate the exponents"`

`rArr4-4x=-3`

`rArr4x=7`

`rArrx=7/4`