How do you solve log_5 2x − 5 = −4? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub May 4, 2016 x=1563/625 Explanation: Use definition log_b x=y iff b^y=x 5^-4 = 2x-5 1/5^4 = 2x-5 1/625 = 2x-5 1/625 + 5 = 2x 3126/625 = 2x x=1563/625 Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve 9^(x-4)=81? How do you solve logx+log(x+15)=2? How do you solve the equation 2 log4(x + 7)-log4(16) = 2? How do you solve 2 log x^4 = 16? How do you solve 2+log_3(2x+5)-log_3x=4? See all questions in Logarithmic Models Impact of this question 2033 views around the world You can reuse this answer Creative Commons License