Question #cdbe1 Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer P dilip_k Dec 24, 2016 #7log(16/15)-5log(24/25)+3log(81/80)# #=log(16/15)^7-log(24/25)^5+log(81/80)^3# #=log(2^4/(3xx5))^7-log((2^3xx3)/5^2)^5+log(3^4/(2^4xx5))^3# #=log((2^28xx5^10xx3^12)/(3^7xx5^7xx2^15xx3^5xx2^12xx5^3))# #=log2# 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 1931 views around the world You can reuse this answer Creative Commons License