Question

What is ln x+2 ln y−ln z written as a single logarithm?

Answer 1

We want to express as a single logarithm

`\ln x+2\ln y-\ln z`

This becomes

`\begin{gathered} \ln x+2\ln y-\ln z \\ \ln x+\ln y^2-\ln z \\ \text{addition, we multiply and subtraction, we divide} \\ \ln (xy^2)-\ln z \\ \ln ((xy^2)/(z)) \end{gathered}`

The 3rd option is the correct answer