A problem by أحمد الحلاق

Level pending

Given that

log ⁡ 2 ( log ⁡ 8 x ) = log ⁡ 8 ( log ⁡ 2 x ) \log_2 ( \log_8 x ) = \log_8 ( \log_2 x )

find ( log ⁡ 2 x ) 2 (\log_2 x)^2 .


The answer is 27.

أحمد الحلاق by أحمد الحلاق , 28, Palestine

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1 solution

Prince Loomba
Sep 17, 2016

Just convert base 8 into 2 in rhs, cut one log, cube both sides, you will automatically get value of the required term as 27.

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