How do you solve #log_3x=9#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer anor277 Oct 24, 2016 #x=3^9# Explanation: When I write #log_(a)b=c#, I ask to what power I raise the base #a# tp get #b#; here #a^c=b#. By way of example, #log_(10)100=2,# i.e. #10^2=100, 10^3=1000 etc.# Given that #log_(3)x=9#, then #x=3^9#, whatever this is it is large! 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 1898 views around the world You can reuse this answer Creative Commons License