If 8x 5 what does 82x equal 82x SolutionGiven 8x 5 Need t

If 8^x = 5, what does 8^2x equal? 8^-2x =

Solution

Given 8^x = 5

Need to find 8^-2x.

By power rule of exponents,(x^m)ⁿ = x^mn.

8^-2x = ( 8^x )^-2

= (5)^-2

= 1/(5)²   (x^-m = 1/x^m)

= 1/5²

= 1/25

= 0.04

Therefore, 8^-2x = 0.04