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 1700 views around the world You can reuse this answer Creative Commons License