How do you evaluate # Log _ 9(1/3)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Özgür Özer Dec 15, 2015 #color(white)(xx)-1/2# Explanation: #color(white)(xx)log_9 (1/3)=log_(3^2) 3^-1# #color(white)(xxxxxxxx)=1/2xx(-1)log_3 3# #color(white)(xxxxxxxx)=-1/2# 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 5603 views around the world You can reuse this answer Creative Commons License