Question

What is 3log y−2log x−4log z written as a single logarithm?

Answer 1

`\log_((y^3)/(x^2z^4))`

Step-by-step explanation:

. Formula

`a\log_{\placeholder{⬚}}(x)=\log_{\placeholder{⬚}}(x^a)`
`\begin{gathered} 3\log_{\placeholder{⬚}}y=\log_{\placeholder{⬚}}y^3 \\ 2\log_x=\log_{\placeholder{⬚}}x^2 \\ 4\log_{\placeholder{⬚}}z=\log_{\placeholder{⬚}}z^4 \end{gathered}`

. Putting them together with the proper signs:

`\log_{\placeholder{⬚}}y^3-\log_{\placeholder{⬚}}x^2-\log_{\placeholder{⬚}}z^4=\log_{\placeholder{⬚}}((y^3)/(x^2z^4))`