How do you solve 10^x=30? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Alan P. Nov 24, 2015 x=log_10 30 ~~ 1.477 Explanation: log_b p = q is equivalent to b^q=p Therefore 10^x=30 is equivalent to log_10 30 = x log_10 30 can be evaluated using a calculator as ~~1.477 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 9531 views around the world You can reuse this answer Creative Commons License