SOLUTION: Another I have to turn in and I am still having trouble with. HELP! Write the expression in terms of the logarithms of x and y: log 5x^2/square root of y y is under a squ

Question 65033This question is from textbook college algebra
: Another I have to turn in and I am still having trouble with. HELP!
Write the expression in terms of the logarithms of x and y:
log 5x^2/square root of y
y is under a square root symbol. Hope that is clear enough. Thanks! This question is from textbook college algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the expression in terms of the logarithms of x and y:
log 5x^2/square root of y
y is under a square root symbol
--------
Using the quotient rule you get:
= [log 5x^2] - [log sqrt y]
Using the product rule and the power rule you get:
=[log 5 + 2log x] - [(1/2)log y]
Simplify to get:
=log 5 + 2logx -(1/2)log y
Cheers,
Stan H.
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