How do you evaluate #log_15 (1/225)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Annie · AJ Speller Oct 4, 2016 #log_15 (1/225)=-2# Explanation: #log_2 8=3# is another way of writing #2^3=8# That is the easy one to remember!! So #log_15 (1/225)=x# is the same thing as #15^x=(1/225)# #15^x=(1/15^2)# #15^x=15^-2# So #x=-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 2711 views around the world You can reuse this answer Creative Commons License