If , what is the value of ?
Answer and explanation
Correct answer: D. 32
.
- Step 1: Use the fundamental definition of a logarithm: .
- Step 2: Convert the logarithmic equation into its equivalent exponential form :
Answer
32.
Why not the others: The values 10, 25, and 64 incorrectly apply linear multiplication (), power inversion (), or an extra factor of 2.
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