SOLUTION: On the problem Log (base 1/2)|6x-9|= Log (base 1/2)|-6| , what Logarithm rules do I use? And how do I got about implementing them into this problem to get the answer? I don't even

Question 480267: On the problem Log (base 1/2)|6x-9|= Log (base 1/2)|-6| , what Logarithm rules do I use? And how do I got about implementing them into this problem to get the answer? I don't even know where to start lol, Thanks in advance.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Log (base 1/2)|6x-9|= Log (base 1/2)|-6|
**
Since the bases are the same the numbers must also equal to each other, that is:
|6x-9|=|-6|
|6x-9|=6
solving for two conditions
6x-9=6
6x=15
x=15/6=5/2
..
-(6x-9=6
-6x+9=6
6x=9-6=3
x=3/6=1/2
ans:
x=5/2
or
x=1/2
RELATED QUESTIONS
can a logarithm have 2 answers? I have this equation that says solve for x: Log base... (answered by mananth)

How do I solve the following logarithm for x? The base of the following logs is 2.... (answered by stanbon,MathLover1)

Using log rules Loga = 0.3 Logb = -0.5 Solve log(1000a^2) log(4throot... (answered by Alan3354)

This one looked easy but it's got me confused please help and thank you. Use the laws of (answered by josmiceli)

how do i solve a problem like this log base 6 3/50 log base 6 10=1.3 log base 6... (answered by Alan3354)

problem: log (base 2) 35 This is what I have done: log (base 2) (5 x 7) log (base 2) 5 (answered by stanbon)

I know this shouldn't be hard, we are doing a study sheet for a test and can't get past... (answered by jim_thompson5910)

I have a problem trying to solve this logarithm. log base 3 (x^2+1)=4 log3(x^2+1)=4.... (answered by ankor@dixie-net.com)

The problem goes like this: If log(base 10)9=0.95 and log(base 10)2=0.30, find... (answered by josmiceli)