How do you solve #log_10(x^2+1)=1#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer sjc Nov 19, 2016 #x=+-3# Explanation: #log_ab=c=>a^c=b# #log_10(x^2+1)=1=>10^1=x^2+1# #x^2+1=10# #x^2=9# #x=sqrt9=+-3# Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm #log_(1/4) 1/64#? How do I find the logarithm #log_(2/3)(8/27)#? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 3811 views around the world You can reuse this answer Creative Commons License