Question

I need help with this problem can you put the answer choices in order for the one that's not answered

Answer 1

The first one and the third one, that you've matched already, are correct. The second one is incorrect, but there is no correct answer in the options and the one you've chosen is indeed the closest one to the correct answer:

`\log _2(x^2)/(4)\rightarrow2\log _2x-\log _24`

For the next three (4, 5 and 6):

4.

`\begin{gathered} \ln (1)/(2x^2)\rightarrow\ln 1-\ln 2x^2\rightarrow-(\ln 2+2\ln x) \\ \Rightarrow-\ln 2-2\ln x \end{gathered}`

Fourth one matches with Option A

5.

`\begin{gathered} \log _9(2x^3)/(3)\rightarrow\log _92x^3-\log _93\rightarrow\log _92+\log _9x^3-(1)/(2) \\ \Rightarrow\log _92+3\log _9x^{}-(1)/(2) \end{gathered}`

Fifth one matches with Option C

6.

`\begin{gathered} \log _6\frac{xy}{\sqrt[]{z}}^2\rightarrow\log _6xy^2-\log _6\sqrt[]{z} \\ \Rightarrow\log _6x+2\log _6y-(1)/(2)\log _6z \end{gathered}`

Sixth one matches with Option i