Logarithmic Function and Its Properties

$x^{2x}$ has a stationary point at

$4^x+6^x=9^x,$ solve for $x$

Let $f\left(x\right)=\left|\ln x\right|, x\ne 1$

What is the derivative of $f\left(x\right)$ at $x=0.5$?

If $\frac{{\log }_{3}64}{{\log }_{9}8}=x$, then the value of $x$ is?

If $f\left(x\right)={\cot }^{-1}\left(\frac{x^x+x^{-x}}{2}\right), \mathrm{then} f^{\text{'}}\left(1\right)=$

If ${\log }_3\left(23+4{\log }_3\left(x-1\right)\right)=3$ then $x$ is

If $f\left(x\right)=x^x,$ then $f^{\text{'}}\left(x\right)=$

What is log3?

What is logarithmic function?

Solution of inequality

${\log }_{\sin x}\left({\log }_3\left({\log }_{0.2}\left(x\right)\right)\right)<0$ is

Find the derivative of $\log x^2.$

The value of ${\log }_5 \left(1+\frac{1}{5}\right)+{\log }_5 \left(1+\frac{1}{6}\right)+{\log }_5 \left(1+\frac{1}{7}\right)+...........+{\log }_5 \left(1+\frac{1}{624}\right)$ is $?$

Use logarithms to evaluate $\sqrt[3]{\frac{0.7214\times 20.37}{69.8}}$

Find the value of $x$ in the following:

$2^x=32$

If ${\log }_3\left[{\log }_3\sqrt{x-1}-\sqrt{x}\right]=0$ then

Prove that $\frac{1}{{\log }_3\left(6\right)}+\frac{1}{{\log }_8\left(6\right)}+\frac{1}{{\log }_9\left(6\right)}=3$

How to find $\log 2$ Base$10$?

Integrate ${\int }_0^{\frac{\mathrm{\pi }}{4}}\frac{\sin x+\cos x}{3+\sin 2x}dx$

If ${\log }_{2}x=4$ and ${\log }_{3}y=5$, then find the value of ${\log }_5\left(x+y\right)$.

Find the value of $\frac{1}{\sqrt{2}}$ using log table.