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5 votes
Evaluate the logarithmic expression.log464

User Astorga
by
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1 Answer

2 votes

Answer:

3

Explanation:

Given the logarithmic expression:


\log_464

First, express 64 as a power of 4:


\log_44^3

Next, apply the power law of logarithms:


\begin{gathered} \log a^n=n\log a \\ \implies\log_44^3=3\log_44 \end{gathered}

Finally, by the unity law:


\begin{gathered} \log_aa=1 \\ \implies3\;\log_44=3*1=3 \end{gathered}

The result of the evaluation is 3.

User Ray Shan
by
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