Question

What’s the Value of XLog27 X=2/3

Answer 1

In general,

`y=\log _bx\Leftrightarrow x=b^y`

Thus, in our case,

`\begin{gathered} \Rightarrow\log _(27)x=(2)/(3) \\ \Leftrightarrow x=27^{(2)/(3)} \end{gathered}`

Therefore, simplifying

`\begin{gathered} \Rightarrow x=(27)^{(2)/(3)}=(3^3)^{(2)/(3)}=3^2=9 \\ \Rightarrow x=9 \end{gathered}`

The answer is x=9