SOLUTION: How would I solve this: 6 log(10-9x)+5=5 log(10x)?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How would I solve this: 6 log(10-9x)+5=5 log(10x)?      Log On


   

Question 221209: How would I solve this: 6 log(10-9x)+5=5 log(10x)?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6 log(10-9x)+5=5 log(10x)
-------------------
log(10-9x)^6 - log(10x)^5 = -5
---
log[(10-9x)^6/(10x)^5] = -5
------------------------------------------
[(10-9x)^6/(10x)^5] = 10^(-5)
-------------------------------
10^-5 is practically zero.
so 10-9x is practically zero.
and x is practically 10/9
=================================================
Cheers,
Stan H.
=============================