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 8472 views around the world You can reuse this answer Creative Commons License