How do you write #10^-2=0.01# in Log form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer CW Sep 14, 2016 #log_10(0.01)=-2# Explanation: Recall that #a^b=c => log_a(c)=b# # 10^-2=0.01# #=>log_10(0.01)=-2# Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm #log_(1/4) 1/64#? How do I find the logarithm #log_(2/3)(8/27)#? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 7133 views around the world You can reuse this answer Creative Commons License