Question

Which expressions are equivalent to the one below? Check all that apply.3xA.B.C.x3D.E.3 • 3x - 1F.3 • 3x + 1

Answer 1

- The solution steps are given below:

`\begin{gathered} (18^x)/(3)=((6*3)^x)/(3)=(6^x*3^x)/(3) \\ =6^x*3^(x-1)\\e3^x \\ \\ \\ ((18)/(6))^x=3^x\text{ \lparen OPTION B\rparen} \\ \\ \\ x^3\\e3^x,\text{ except }x=3. \\ \\ \\ (18^x)/(6^x)=((18)/(6))^x=3^x\text{ \lparen OPTION D\rparen} \\ \\ \\ 3.3^(x-1)=3*(3^x)/(3)=3^x\text{ \lparen OPTION E\rparen} \\ \\ \\ 3.3^(x+1)=3*3^x*3=3^x*3^2=3^(x+2)\\e3^x \end{gathered}`

Final Answer

The answers are:

OPTION B

OPTION D

OPTION E