SOLUTION: Assume that x,y,z and b are positive numbers. Use the properties of logarithms to write each expression in terms of the logarithms of x,y, and z. log(base b)x^(1/2) y^3

Question 315427: Assume that x,y,z and b are positive numbers. Use the properties of logarithms to write each expression in terms of the logarithms of x,y, and z.
log(base b)x^(1/2) y^3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We're going to use the following identities:

1)

2)

So first using identity #2 and then identity #1, we get:

So in short,
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