SOLUTION: Given log(base x)2=.014, log(base x)3=.128, log(base x)5=.004 determine log(base x)(144x^2/25)

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Question 328991: Given log(base x)2=.014, log(base x)3=.128, log(base x)5=.004
determine log(base x)(144x^2/25)
Answer by solver91311(16897) About Me  (Show Source):
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hence





but .

Since , we are certain that , therefore

So we can write:



And finally,



so



The log of the product is the sum of the logs and the log of the quotient is the difference of the logs, so:




John