Question #ab31a Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer P dilip_k Nov 24, 2017 -log_3(log_(3sqrt3)√3) =-log_3(1/log_(sqrt3)(3√3)) =-log_3(1/log_(sqrt3)(√3)^3) =-log_3(1/(3log_(sqrt3)(√3))) =-log_3(1/(3xx1)) =-log_3 1+log_3(3) =-0+1=1 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 1365 views around the world You can reuse this answer Creative Commons License