SOLUTION: Solve for x log3(2x-4) - log3(6) = 3 I've tried this question a few times and I keep coming up with the wrong answer, I'm not quite sure where I've gone wrong. Thanks so muc

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x log3(2x-4) - log3(6) = 3 I've tried this question a few times and I keep coming up with the wrong answer, I'm not quite sure where I've gone wrong. Thanks so muc      Log On


   

Question 997232: Solve for x
log3(2x-4) - log3(6) = 3
I've tried this question a few times and I keep coming up with the wrong answer, I'm not quite sure where I've gone wrong. Thanks so much for the help!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Know the rules of logarithms and of exponents.

log%283%2C%282x-4%29%29-log%283%2C6%29=3

log%283%2C%28%282x-4%29%2F%286%29%29%29=3

log%283%2C%28%28x-2%29%2F%283%29%29%29=3

Change to exponential form.
3%5E3=%28x-2%29%2F3
.
.