How do you expand $log_2 20$ ?

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Answer 1 · 2016-05-27T08:05:17

$2 + log 5/log 2=4.322$ , nearly.

Use $log_b a = log_c a/log_c b, log_2 a^n=n log_2 a and log_2 2=1$

$log_2 20 = log_2((2^2)5)$

$=log_2 2^2+log_2 5$

$=2 log_2 2+log_2 5$

$= 2(1)+log 5/log 2$

#=4.322, nearly.

How do you expand log_2 20log_2 20?