SOLUTION: 7=ln(5x)+ln(7x-2x)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 7=ln(5x)+ln(7x-2x)      Log On


   



Question 549737: 7=ln(5x)+ln(7x-2x)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
7=ln(5x)+ln(7x-2x)
simplify:
7 = ln5x + ln5x
7 = 2ln5x
3.5 = ln5x
Eliminate the ln from the equation raise everything to the e power.
e^3.5 = eln5x
By the identity rule, eln5x is equal to 5x
5x = e^3.5
5x = 33.1
x = 6.62