How do you solve log x^2+1=5? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub Mar 21, 2016 x=100 Explanation: log x^2 +1 =5 logx^2=4-> subtract 1 from both sides 2logx=4->Use property log_bx^n=n*log_b x log x=2-> divide both sides by 2 10^2=x->use property y=log_bx iff b^y=x x=100 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 3022 views around the world You can reuse this answer Creative Commons License