SOLUTION: I need to Solve the equation log3 x^2 - log3(3x+18)=0 log is base 3 tried log3(x^2/3x+18)=0, not sure if this is right or how to proceed, also tried to remove log3 ended with

Algebra.Com
Question 542957: I need to Solve the equation log3 x^2 - log3(3x+18)=0
log is base 3 tried log3(x^2/3x+18)=0, not sure if this is right or how to proceed,
also tried to remove log3 ended with x^2-3x+18=0 removed 18from both sides x^2-3x=-18
tried to separate into to equations x=6, x=-3 neither fit into equation can not find another example in the book or in notes please help me figure out how to solve three of us and we still have no idea

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve the equation
log3 x^2 - log3(3x+18)=0
------------
log3[x^2/(3x+18)] = 0
x^2/(3x+18) = 3^0 = 1
----
x^2 = 3x+18
x^2-3x-18 = 0
---
Factor:
(x-6)(x+3) = 0
x = 6 or x = -3
====================
Cheers,
Stan H.

RELATED QUESTIONS

I have been told I need to turn my logs into exponents to solve this equation but I am... (answered by ewatrrr)
log3 (3x+14) −log3 (5) =log3 (2) +log3 (x)... (answered by Alan3354)
simplify the expression log3 (x+1) -log3 (3x^2-3x-6)+log3 (x-2) The 3 on each log is... (answered by josgarithmetic)
Hi, I have been going over this more time then you know. I need to use the laws of... (answered by longjonsilver)
Log3(x+18)-log3(x-2)=4 (answered by Boreal,LinnW)
log3 (x^2... (answered by tommyt3rd)
solve (3^2x) -[5(3^x)]=-6 I've tried a few different roots..nothing seems to be... (answered by Alan3354)
log3(x-3)-2+log3(x+5)=0 What is the value of... (answered by Alan3354)
Log3(3x+8)=log3(x^2+x) (answered by ewatrrr)