l o g 4 8 {\displaystyle log_{4}{\sqrt {8}}}
על פי כלל הלוגרתם a b = x ⇔ log a ( x ) = b {\displaystyle a^{b}=x\Leftrightarrow \log _{a}(x)=b}
4 x = 8 2 2 x = 2 3 2 2 x = 3 2 x = 3 4 {\displaystyle {\begin{aligned}4^{x}={\sqrt {8}}\\2^{2}x=2^{\frac {3}{2}}\\2x={\frac {3}{2}}\\x={\frac {3}{4}}\end{aligned}}}
