SOLUTION: how do you solve log6x+ log6 (x+16)= 2 ?

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Question 421859: how do you solve log6x+ log6 (x+16)= 2 ?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Presuming you are trying to represent base 6 logs, i.e., as opposed to base 10 logs, :

First use "The sum of the logs is the log of the product":



Then use the definition of the logarithm function:



to write:



Standard form of the quadratic:



The quadratic factors. You can take it from here. You will need to exclude one of the roots because it is not in the domain of the logarithm function.

John

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