9th Problem 2016

Algebra Level 3

Which one is larger?

2 2016 2^{2016} or 3 2015 3^{2015}

Check out the set: 2016 Problems

3 2015 3^{2015} 2 2016 2^{2016}

Angela Fajardo by Angela Fajardo , 19, Philippines

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1 solution

Jesse Nieminen
Jul 13, 2016

2 3 < 3 2 2 2016 < 3 1344 2 2016 < 3 2015 \begin{aligned} 2^3 &< 3^2\\ 2^{2016} &< 3^{1344}\\ 2^{2016} &< 3^{2015} \end{aligned}

Hence, 3 2015 \boxed{3^{2015}} is larger.

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