Question

I keep getting 6 and it's not a answer choice

Answer 1

Given the following question:

Which equation is equivalent to logx 36 = 2

`\begin{gathered} \log _x36=2 \\ (1)/(\log_(36)\left(x\right))=2 \\ (1)/(\log_(36)\left(x\right))\log _(36)\mleft(x\mright)=2\log _(36)\mleft(x\mright) \\ 1=2\log _(36)\mleft(x\mright) \\ 2\log _(36)\mleft(x\mright)=1 \\ \log _(36)\mleft(x\mright)=(1)/(2)=6 \\ =6 \end{gathered}`

Now we have to find the option that also equals 6:

Starting with Option B:

`\begin{gathered} x^2=36 \\ x=√(36),\: x=-√(36) \\ 6*6=36 \\ \sqrt[]{-36}=-6 \\ \text{Solutions} \\ x=6 \\ x=-6 \end{gathered}`

Your answer is option B.