(log(8))/(log(2)) * (log(3))/(log(sqrt(3))) = 2 * log(x)
You asked:
Solve the equation \(\frac{\frac{\log\left( 8 \right)}{\log\left( 2 \right)} \cdot \log\left( 3 \right)}{\log\left( \sqrt{3} \right)} = 2 \cdot \log\left( x \right)\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = e^{\frac{\log{\left(3 \right)} \log{\left(8 \right)}}{2 \log{\left(2 \right)} \log{\left(\sqrt{3} \right)}}} \approx 20.085537\]
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).