Logarithmic Function and its Properties

$4^x+6^x=9^x,$ solve for $x$

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

Find the value of $2^{3+{\log }_{2}5}$

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

The number of integral solution $x$ of ${\log }_{\left(x+\frac{7}{2}\right)}{\left(\frac{x-7}{2x-3}\right)}^2\ge 0$ is

Let $a, b, c$ be the three distinct positive real numbers such that ${\left(2a\right)}^{{\log }_{e}a}={\left(bc\right)}^{{\log }_{e}b}$ and $b^{{\log }_{e}2}=a^{{\log }_{e}c}$ Then $6a+5bc$ is equal to ______.

What is log3?

What is logarithmic function?

If $2\log (x+1)=2\log 2+\log x$, then find the value of '$x$'.

Solution of inequality

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

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:

$2^x=32$

Let $x,y$ and $z$ be real numbers satisfying the system 

${\log }_2\left(xyz-3+{\log }_5\left(x\right)\right)=5$

${\log }_3\left(xyz-3+{\log }_5\left(y\right)\right)=4$

${\log }_4\left(xyz-3+{\log }_5\left(z\right)\right)=4$

then, the value of ${\log }_{5}x+{\log }_{5}y+{\log }_{5}z+3xyz$ is

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$10$?

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

If ${\log }_3\left({\log }_2\left(a\right)\right)+{\log }_{\frac{1}{3}}\left({\log }_{\frac{1}{2}}\left(b\right)\right)=1$, then the value of $a{b}^3$ is