SOLUTION: Log base 9 of 3 to the 3x-4=x. How do I solve for x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Log base 9 of 3 to the 3x-4=x. How do I solve for x      Log On


   

Question 738696: Log base 9 of 3 to the 3x-4=x. How do I solve for x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log+%289%2C%283%5E%283x-4%29%29%29=x

log+%289%2C%283%5E%283x-4%29%29%29%2Flog+%289%29=x

log+%289%2C%283%5E%283x-4%29%29%29=xlog+%289%29

log+%289%2C%283%5E%283x-4%29%29%29=log+%28%289%5Ex%29%29

log+%289%2C%283%5E%283x-4%29%29%29=log+%28%283%5E2x%29%29...if so, then

3%5E%283x-4%29=3%5E2x...if so, then

3x-4=2x........solve for x

3x-2x=4

x=4