(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the Laws of logarithms to rewrite the expression in a form with no logarithm of a product, quotient or power.

ln (x^10*sqrt((y^19)/(z^7))) = a ln(x)+b ln(y)+c ln(z)

2. Relevant equations

ln (x^a)=a ln(x)

3. The attempt at a solution

I know that it will start =10 ln(x), but I don't know what the square root implies. To specify, if I had the equation ln(sqrt(xy)), I thought the answer would be ln(x)+2 ln(y), but this isn't the case. Can anyone explain what happens to the square root when rewriting this expression? Thanks for your help!

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# Homework Help: Rewriting a log

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