What is x if 2^(9x-15)-1/64=0 ?

We'll move 1/64 to the right side and we'll write it as a
power of 2:

1/64 = 1/2^6

We'll
apply the negative power rule:

1/2^6 =
2^-6

We'll re-write the
equation:

2^(9x-15) =
2^-6

Since the bases are matching, we'll use the one to one
property of exponentials and we'll get:

9x - 15 =
-6

We'll divide by 3:

3x - 5 =
-2

We'll move the number alone to the right
side:

3x = 5 - 2

3x =
3

x = 1

The real
solution of the equation is x = 1.