$\begin{aligned} 5\cdot 2^x&=240 \\\\ 2^x&=48 \\ \end{aligned}$

$\begin{aligned} x &= \log_{2}(48) \\\\ &=\dfrac{ \log(48)}{\log(2)} &&\small{\gray{\text{ფუძის შეცვლის წესი}}}\\\\\\ &\approx 5{,}585 &&\small{\gray{\text{გამოთვალეთ კალკულატორით}}}\end{aligned}$

$\begin{array}{rl}6\cdot {10}^{2x}& =48\\ \\ {10}^{2x}& =8\end{array}$‍

$\begin{aligned} \log_{\blueD{10}}(\goldD8)&=\greenD{2x} \\\\ \end{aligned}$

$x=\dfrac{~{\log_{10}(8)}}{2}$x, equals, start fraction, space, log, start base, 10, end base, left parenthesis, 8, right parenthesis, divided by, 2, end fraction

$\begin{aligned} x&=\dfrac{~{\log_{10}(8)}}{2}\\\\\\\\ &= \dfrac{~{\log(8)}}{2}&&\small{\gray{\log_{10}(x)=\log(x)}} \\\\\\ &\approx 0{,}452 &&\small{\gray{\text{გამოთვალეთ კალკულატორით}}}\end{aligned}$