SOLUTION: Hi, I need help in solving the following equation. I would be very grateful if you could be of assistance please. Thanks log5 (4t + 7) - log5 t = 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I need help in solving the following equation. I would be very grateful if you could be of assistance please. Thanks log5 (4t + 7) - log5 t = 2      Log On


   

Question 1076308: Hi, I need help in solving the following equation. I would be very grateful if you could be of assistance please. Thanks
log5 (4t + 7) - log5 t = 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C%284t+%2B+7%29%29+-+log%285%2Ct%29+=+2+
using the rules of logs we write this as
log%285%2C%28%284t%2B7%29%2Ft%29%29+=+2
the exponent equiv of logs
%28%284t%2B7%29%29%2Ft+=+5%5E2
4t + 7 = 25t
7 = 25t - 4t
7 = 21t
t = 7/21 = 1/3,