How do you solve -4=log_5x? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Tony B Dec 8, 2015 x=1/625 Explanation: Consider log_10 x=y -> 10^y=x Using the same concept for your question: log_5x=(-4) -> 5^(-4)=x so x= 1/(5^4) =1/625 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 1389 views around the world You can reuse this answer Creative Commons License