How do you solve # 2^x=5#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer P dilip_k May 6, 2016 #x=log5/log2~~2.32# Explanation: Given' #2^x=5# Taking log of both sides #=>log2^x=log5# #=>xlog2=log5# #=>x=log5/log2=0.6989/0.3010~~2.32# 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 26379 views around the world You can reuse this answer Creative Commons License