SOLUTION: log base 3 (18x^3)-log base 3 (2x)=log base 3 144

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Question 984777: log base 3 (18x^3)-log base 3 (2x)=log base 3 144
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%28%2818x%5E3%29%2F%282x%29%29%29=log%283%2C%28144%29%29
log%283%2C%289x%5E2%29%29=log%283%2C%28144%29%29
9x%5E2=144
x%5E2=16
x=4
Only the positive solution is used since log%283%2C%28-8%29%29 is not defined.

Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!

log%283%2C+18x%5E3%29 - log%283%2C+2x%29 = log%283%2C+144%29,

log%283%2C+%28%2818x%5E3%29%2F%282x%29%29%29 = log%283%2C+144%29,


%2818x%5E3%29%2F%282x%29 = 144%29,

9x%5E2 = 144,

x%5E2 = 144%2F9 = 16,

x = +/-4.