Logarithms

Algebra Level 1

log 2 ( 2 2016 ) = ? \large \log _2 \left(2^{2016} \right) = \, ?

2016 4032 1 4 2 1008

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3 solutions

Mateus Gomes
Feb 8, 2016

l o g 2 ( 2 2016 ) = 2016 l o g 2 2 = 2016 log_2 ({2}^{2016})=2016log_{2} 2=\Large\color{#3D99F6}{\boxed{2016}}

Jaywon Han
Dec 31, 2018

The number of 2016 goes to front 2016log2^2 and get equal to (2016).

Love Sinha
Nov 26, 2018

We are asked to find at which power of base (i.e. 2 here)we are going to get the value as the exponential result(i.e.2^2016 here).. So this log can be simplified as ....

2^x=2^2016

=>x=2016!!

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