Solving Exponential Equations by Rewriting the Base
Question 2 • DHS Algebra 2 V
Solve: logx64 = 3Which is an equivalent equation?
Answer
A
3x = 64
B
x3 = 64
C
64x = 3
D
x3 = 643
Explanation
By the definition of a logarithm, logₓ64 = 3 means that the base x raised to the power 3 equals 64. So the equivalent equation is x³ = 64, which is choice B.
AI-written and checked against the verified answer.