log78 (4212)

asked by guest
on Jan 14, 2025 at 7:27 am



You asked:

Evaluate the expression: \(\log_{78}\left( 4212 \right)\)

MathBot Answer:

\[\log_{78}\left( 4212 \right) = \frac{\log{\left(54 \right)}}{\log{\left(78 \right)}} + 1 \approx 1.91559574101610781511717899628473\]

\[\begin{aligned}\log_{78}\left( 4212 \right)& = \log{\left(4212 \right)}\\& = 1 + \frac{1}{\log{\left(78 \right)}} \cdot \log{\left(54 \right)}\end{aligned}\]

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