SOLUTION: How would you solve log base 6 of 2x + log base 6 of (x-2) = 1? Our teacher said the answer should be 3. So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2

Question 681634: How would you solve log base 6 of 2x + log base 6 of (x-2) = 1?
Our teacher said the answer should be 3.
So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2-4x) = 1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How would you solve log base 6 of 2x + log base 6 of (x-2) = 1?
Our teacher said the answer should be 3.
So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2-4x) = 1
=========================

log base 6 of (2x^2-4x) = 1
--> (2x^2-4x) = 6
x^2 - 2x -3 = 0
(x-3)*(x+1) = 0
x = -1 is rejected since won't work.
x = 3

RELATED QUESTIONS
How would you solve: log (base 3)of 2+ log (base 3)of 7= log (base 3)of x or... (answered by nerdybill)

Kindly help me answer these items/how to answer them: I. Solve the ff. equations.... (answered by jsmallt9)

I was told "Write in condensed form (as a single logarithm)"... (answered by stanbon)

Solve for x. log base 6 of (3x+14) - log base 6 of 5 = log base 6 of (2x) (I have (answered by lwsshak3)

1.Write as a difference of logarithms a) log(base 4)11 b) log(base 3)12 c) log(base... (answered by MathLover1)

Solve and check a)2logm + 3logm = 10 b)log(base 3)x^2 - log(base 3)2x = 2 c)log(base... (answered by solver91311)

please help me solve log base 6 X + log base 6 X-3=2 the answer is 7.365 but I need... (answered by lwsshak3)

how do you solve log base 4 (log base 3 (log base 2 of X)) = 0?? (answered by stanbon)

1. Solve the following equations a) log(base 5)x+2 + log(base 5) x-2 - log(base 5)4 =... (answered by mananth)