Question

Which logarithmic equation is equivalent to 82 = 64?
2 = log Subscript 6 Baseline 64
2 = log Subscript 64 Baseline 8
8 = log Subscript 2 Baseline 64
64 = log Subscript 2 Baseline 8

Answer 1

Answer: Choice B

$2 = \log_{8}(64)$

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Explanation:

The original equation is $8^2 = 64$ with 8 as the base. That is also the base of the log when we get the final answer shown above. Logs are useful to isolate the exponent.

The general rule is that $\text{y} = b^{\text{x}}$ is equivalent to the log form of $\text{x} = \log_{b}(\text{y})$ where b is the base of each.

Answer 2

Answer: B

Step-by-step explanation:

Keep it simple for the rest of us