If 8x+1 = 64, what is the value of 32x+1?
A. 1
B. 3
C. 9
D. 27
E. 81
If powers of the same base are equal, then their exponents must be equal. Since 8x+1 = 64 = 82, then x + 1 = 2, so x = 1. To find the value of 32x + 1, replace x with 1.
32x + 1 = 32(1) + 1
= 33
= 27