Question

Evaluate: log4(1 + tan² 45degrees)²

Answer 1

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Answer 2

We need to recall the following formulas.

• $log_a(a^n)=n$
• $tan45\textdegree = 1$

Given:

$log_4(1+tan^245\textdegree)^2$

$=log_4(1+1^2)^2$

$=log_4(2)^2$

$=log_4(4)$

$=1$

Hence, $log_4(1+tan^245\textdegree)^2=1$