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How do you evaluate #log_2 4 - log_2 16#?

1 Answer

Jul 9, 2015

Since #4=2^2and 16=2^4# we can rewrite:

Explanation:

#=log_2 2^2-log_2 2^4#

Exponent rule:
#=2*log_2 2-4*log_2 2#

Since #log_b b=1# for any #b->log_2 2=1#
#=2*1-4*1=-2#

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