# Meh! Where's My Calculator?

Algebra Level 3

$\large { \color{#D61F06}{2011} }^{ \color{teal}{2012} } \times { \color{#D61F06}{2013}}^{ \color{teal}{2014} }$

Find the number of digits of the number above when stated in decimal representation.

Details and Assumptions

You may use the following approximations

• $\log_{10} 2011 = 3.3034120705967 \ldots$

• $\log_{10} 2013 = 3.3038437748886 \ldots$

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