How do you evaluate #log_3 root5(9) #? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer José F. Feb 27, 2016 #2/5# Explanation: #log_3 root(5)9=log_3root(5)(3^2)=log_3(3^(2/5))# log_a(a^x)=x So, you will obtain #2/5# 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 1906 views around the world You can reuse this answer Creative Commons License