Log, this time, is more fun!

Algebra Level 2

$\text{Given that } \log_{10}{2016}=3.3044$ $\text{What is } \log_{10}{ \left(2.016 \times 10^{2016} \right) } \, ?$

The answer is 2016.3044.

1 solution

Rishabh Jain
Feb 21, 2016

$\large \log (A\times B)=\log A +\log B$ $\Large \therefore \log_{10}{ (2.016 \times 10^{2016} )}$ $\Large = \log_{10}{ (2016 \times 10^{2013} )}$ $\Large =\log_{10}{2016}+\log_{10}{10^{2013} }$ $\Large =3.3044+2013$ $\huge =\boxed{\color{#3D99F6}{2016.3044}}$

Log, this time, is more fun!

The answer is 2016.3044.

1 solution

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