Can I draw a hyperbola?

Calculus Level 3

Which of these answer choices yields the largest value?

Bonus : Solve this problem without using tables or calculators.

2017^{2012}

2011^{2018}

2012^{2017}

2016^{2013}

2018^{2011}

2014^{2015}

2015^{2014}

2013^{2016}

1 solution

A Former Brilliant Member
Jun 30, 2015

I took log base 2011 of each one. Then I took down the exponent.

log base x of a^b = b*log base x of a.

Since log base 2011 of each exponent base is still approximately 1, the highest exponent will give the right answer, in this case 2011^2018.

Can you calculate it. if you dont have any calculator? :)

uzumaki nagato tenshou uzumaki - 5 years, 11 months ago

I forgot to clarify that I took down the exponent after taking the log. log base x of a^b = b*log base x of a.

A Former Brilliant Member - 5 years, 11 months ago