How do you use the properties of logarithms to expand #ln((x^4sqrty)/z^5)#?
There are three properties of logarithms that will be useful here:
Begin by using the Quotient Property to split apart the logarithm:
Now, rewrite the square root as a fractional exponent:
Now use the Product Property to split apart the first logarithm:
Lastly, use the Exponent Property to rewrite the logarithms: