solve exponential equations and inequalities answer key
ons to reinforce learning. Problem 1: Solve \( 4^{x-3} = 64 \) Solution: Express 64 as a power of 4: \[ 64 = 4^{3/2} \] (since \( 4^{3/2} = (4^{1/2})^3 = 2^3 = 8 \), but 64 = \( 4^{3} \) because \( 4^3=64 \).) Actually, better to note: \[ 4^x = 64 \] \[ 4^x = 4^3 \] Thus, \[ x - 3 = 3 \] \[ x = 6 \