Question #55de4 Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Alberto P. Nov 14, 2016 Assuming you meant #log_a(a/sqrtx)-log_a(sqrtax)# #1/2-3/2log_ax# Explanation: #log_a(a/sqrtx)-log_a(sqrtax)=log_a((a/sqrtx)/(sqrtax))=log_a(sqrta/(x sqrtx))=log_asqrta-log_ax^(3/2)=1/2-3/2log_ax# 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 1371 views around the world You can reuse this answer Creative Commons License