How do you solve #2^x*5=10^x#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Cesareo R. Jun 18, 2016 #x=1# Explanation: #2^x*5=10^x# or #2^x/(10^x) 5=1# or #5(2/10)^x = 1# or #(1/5)^x = 1/5# then, #x = 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 1470 views around the world You can reuse this answer Creative Commons License