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

Solve for x.

1 Answer
Jun 24, 2017

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