Use the properties of logarithms to expand the expression ( ln left( x^{10} sqrt{frac{y^5}{z^7}} ight) ) in a form with no logarithm of a product, quotient or power.
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Step 1: Use the product rule of logarithms to break apart the multiplication inside the parentheses: \[ \log\left(\frac{(X^5Y)^{\frac{1}{2}}}{Z^{\frac{7}{2}}}\right) = \log(X^5Y)^{\frac{1}{2}} - \log(Z^{\frac{7}{2}}) \] Show more…
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