8^x-2a=(1/2)^5a

Answer 1

I guess you are supposed to solve for x:

8^x-2a = (1/2)^5a

8 = 2³ and 1/2 = 2^-1

2^3(x-2a) = 2^-5a

You can equate exponents since both are to the same base of 2.

3x-6a = -5a

3x = a

x = a/3