What is the log base 2 of the enclosed expression?

Algebra Level pending

This problem’s question: {\color{#D61F06}\text{This problem's question:}} What is the log base 2 of 1 4 ( cos ⁡ ( 1 10 ) + cosh ⁡ ( 1 10 ) + 2 cos ⁡ ( 2 20 ) cosh ⁡ ( 2 20 ) ) − 1 \frac{1}{4} \left(\cos \left(\frac{1}{10}\right)+\cosh \left(\frac{1}{10}\right)+2 \cos \left(\frac{\sqrt{2}}{20}\right) \cosh \left(\frac{\sqrt{2}}{20}\right)\right)-1 ? The usual Brilliant real number allowance is applicable.


The answer is -41.8745865295167.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

This is a straight forward calculation problem. The issue is that it beyond the limits of common calculators. Wolfram/Alpha can handle it.

The answer is about -41.87463277748617757338036. -42 would probably get you within Brilliant's real number answer tolerance.

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