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How do you evaluate #log_2 4^22#?

1 Answer

Mar 22, 2016

#log_2 4^22##=44#

Explanation:

#log_2 4^22#
#=22 log_2 4#-> use property #log_b x^n=nlog_b x#
#=22 log_2 2^2#
#=2*22 log_2 2#-> use property #log_b b= 1#
#=44 (1)#
#=44#

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