You can
put this solution on YOUR website!We need to understand the properties of logarithms (which are directly related to the properties of exposnents since logarithms are exponents):
The last two allow you to combine two log's into one, which is what you want. But they require that there is nothing (but a 1) in front of the log's. The first property allows you to remove unwanted coefficients.
Now we'll solve your problem to combine
into a single log. We will start by using the first property to remove the coefficients:
Now we will combine them using the third property (since it is subtraction):
You can
put this solution on YOUR website!Remember alogb= logb^a,,,,and log a - log b = log (a/b)
.
5 log (3x-11) - 7 log(x )
.
log (3x-11)^5 - log (x)^7
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log { (3x-11)^5 / (x)^7 }
.
check,,,,let x=5, both original and answer = -1.882
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