How do you evaluate # log0.01 #?

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How do you evaluate # log0.01 #?

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Answer 1 · 2016-03-22T21:28:54

#log 0.01##=-2#

Explanation:

#log 0.01#
#=log (1/100)#
#=log (1/10^2)#
#=log 10^-2#-> use property #x^-n=1/x^n#
#=-2 log 10#-> use property #log_b x^n = n log_b x#
#=-2(1)#-> log 10 = 1
#=-2#

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How do you evaluate # log0.01 #?

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