How do you solve #5.07^(t-1) = 100#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer A. S. Adikesavan Apr 14, 2016 #t = 1 + 2/log 5.07#=3.837, nearly. Explanation: #log a^m=m loga and log 10^n=n# Equating logarithms, #(t-1) log 5.07=log 100=log 10^2=2# So, #t=1+2/log 5.07#. 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 1283 views around the world You can reuse this answer Creative Commons License