Question

Simplify ${\log }_{2}16$

Answer 1

Simplify logarithm expression:

Given: Simplify ${\log }_{2}16$

Let us consider${\log }_{2}16=x$

So,

$$\begin{gathered} {\left(2\right)}^x=16 \\ =2\times 2\times 2\times 2 \\ \Rightarrow 2^x=2^4 \end{gathered}$$

By comparing the powers,

$x=4$

Hence, the value of $xis4$