SOLUTION: How do you solve this? 2log3 X-log3(X+4) = 2

Question 1061106: How do you solve this?
2log3 X-log3(X+4) = 2

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
2log3 X-log3(X+4) = 2
:
log(3) (x^2 / (x+4)) = 2
:
Note that 2log(3) x = log(3) x^2, also used log definition of division
:
x^2 / (x+4) = 3^2 = 9
:
Note used definition of logarithm
:
x^2 = 9(x+4)
:
x^2 -9x -36 = 0
:
(x+3) * (x-12) = 0
:
******************************************************
x = 12
:
Note the logarithm of a negative number is not defined
******************************************************
:

RELATED QUESTIONS
please help me solve 2log3(x+4)-log3... (answered by scott8148)

please help me solve this problem: log3(0.1)+2log3(x)=... (answered by Earlsdon)

I am having trouble with this problem: 2log3(x+4)-log3(9)=2 Thank... (answered by josmiceli)

How do you write this expression as a single logarithm? (with a base of 3)... (answered by rapaljer)

Condense the expression.... (answered by lwsshak3)

How do you solve this? log3(x+6) - log3 x = 5 Find the value of x. (answered by solver91311)

log3(x-2) = 1+log3(x-4) The logs have a base of 3. How do I solve... (answered by scott8148)

how do u solve 2 log3 (x+4)- log3... (answered by stanbon,kdepasquo137)

solve for x: 2^(x-1) = 3^(2x+1) Answer is: Log2+log3/log2-2log3 = -1.191 Please help (answered by jim_thompson5910)