SOLUTION: Please help me solve this! Use properties of logarithms to expand the logarithmic expression as much as possible. Where​ possible, evaluate logarithmic expressions without us

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Question 1178811: Please help me solve this!
Use properties of logarithms to expand the logarithmic expression as much as possible. Where​ possible, evaluate logarithmic expressions without using a calculator.

The top row is next to the sqrt not 43 as it appears. Thanks so much!

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I think you meant CUBE root, not SQUARE root, so use "root(3,5-x)" not sqrt.



That's the log of a quotient, so we use 



Those are both logs of products, so we use  on the first log:



Now we must be careful to put a big parentheses around the second log's
break-up since it's preceded by a minus:



Now we can remove that big parentheses by changing the signs of the terms
inside the big parentheses:



Now we write the cube root as the 1/3 power:



Now we use  and also log(10) = 1:



Edwin

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