How do you solve #ln sqrt(x+1)=2#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Trevor Ryan. Dec 17, 2015 #x=e^4-1# Explanation: #lnsqrt(x+1)=2# #thereforeln(x+1)^(1/2)=2# #therefore 1/2ln(x+1)=2# #thereforeln(x+1)=4# #therefore(x+1)=e^4# #thereforex=e^4-1# 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 5948 views around the world You can reuse this answer Creative Commons License