Answer:
3
Explanation:
Given the logarithmic expression:
[tex]\log_464[/tex]First, express 64 as a power of 4:
[tex]\log_44^3[/tex]Next, apply the power law of logarithms:
[tex]\begin{gathered} \log a^n=n\log a \\ \implies\log_44^3=3\log_44 \end{gathered}[/tex]Finally, by the unity law:
[tex]\begin{gathered} \log_aa=1 \\ \implies3\;\log_44=3\times1=3 \end{gathered}[/tex]The result of the evaluation is 3.
