Question

Express the given quantity as a single logarithm. ln x + a ln y − b ln z

Answer 1

The rules of logarithms tell you ...
• $\ln(a)+\ln(b)=\ln(a \cdot b)$
• $a \cdot \ln(b)=\ln(b^{a})$

$\ln(x)+a \cdot \ln(y)-b \cdot \ln(z)=\ln\left( \dfrac{x \cdot y^{a}}{z^{b}} \right)$