Question 288343: express as a single logarithm:
log[6](18)+log[6](48)-2log[6](2)
Found 2 solutions by nerdybill, Theo:
Answer by nerdybill(7384)   (Show Source):
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! Your expression is:
Since, in general,  , then:
=  which becomes:
Since, in general,  , then:
=  which becomes:
Since, in general,  , then:
=  which becomes:
 .
That's your answer:
= .
The original expression has been confirmed to be equivalent to the final expression.
You can check this yourself by using the log function of your calculator.
The conversion formula to use is that, in general,  .
I will do the original expression for you and then you can do the final expression.
The original expression is:
 .
 .
 .
Plug these values into the original expression equation and you get:
= 1.613147193 + 2.160558422 - .773705614 = 3.
When you confirm the final expression of , you should also get 3.
You can convert the log base 6 to log base 10 using the conversion formula shown below:
Log base 10 is found by using the LOG function of your calculator.
=  .
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