log(16)/log(256)

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asked by guest
on Nov 18, 2024 at 10:52 pm



You asked:

Evaluate the expression: \(\frac{\log\left( 16 \right)}{\log\left( 256 \right)}\)

MathBot Answer:

\[\frac{\log\left( 16 \right)}{\log\left( 256 \right)} = \frac{\log{\left(16 \right)}}{\log{\left(256 \right)}} \approx 0.5\]

\[\begin{aligned}\frac{\log\left( 16 \right)}{\log\left( 256 \right)}& = \log{\left(16 \right)} \cdot \frac{1}{\log{\left(256 \right)}}\\& = \frac{1}{\log{\left(256 \right)}} \cdot \log{\left(16 \right)}\end{aligned}\]

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