Question
For the function \( f(x)=4^{x} \), the value when \( x=3 \) is \( f(3)=4^{3}=64 \). What is \( \log _{4} 64 \) (1 point)
Ask by Riley Barrett. in the United States
Feb 04,2025
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Tutor-Verified Answer
Answer
\(\log _{4} 64 = 3\)
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Bonus Knowledge
To find \( \log_{4} 64 \), we need to determine what power we raise 4 to in order to get 64. Since \( 64 = 4^3 \), we can express this logarithm as: \[ \log_{4} 64 = \log_{4}(4^3) = 3 \] So, \( \log_{4} 64 = 3 \).
