## Problem of the Day #376: Log Entry 01
*March 29, 2012*

*Posted by Albert in : potd , trackback*

Alex has decided to provide you with the following data:

$$

\begin{eqnarray}

\ln(2) & \approx & 0.693147181 \\

\ln(3) & \approx & 1.09861229 \\

\ln(5) & \approx & 1.60943791 \\

\ln(7) & \approx & 1.94591015

\end{eqnarray}

$$

Your mission, should you choose to accept it, is to find the number of digits in the decimal expansion of $35^{12000}$.

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