SOLUTION: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 7(1.09^4x + 1) = 15 x=

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 7(1.09^4x + 1) = 15 x=      Log On


   

Question 948808: Use logarithms to solve the given equation. (Round the answer to four decimal places.)
7(1.09^4x + 1) = 15
x=
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
7%2A1.09%5E%284x+%2B+1%29+=+15
1.09%5E%284x+%2B+1%29+=+15%2F7
4x%2B1=log%281.09%2C%2815%2F7%29%29
4x=-1%2Blog%281.09%2C%2815%2F7%29%29
x=-1%2F4%2B%281%2F4%29%2Alog%281.09%2C%2815%2F7%29%29
x=-1%2F4%2B%281%2F4%29%2A%28log%28%2815%2F7%29%29%2Flog%28%281.09%29%29%29
x=1.960955
To 4 decimal places, x=1.9610