Logarithmic Functions

If $x={\log }_{24}12; y={\log }_{36}24; z={\log }_{48}36;$
then $xyz+1=?$

$\frac{1}{{\log }_a b}\times \frac{1}{{\log }_{b }c}\times \frac{1}{{\log }_c a}$ is equal to __________.

If $x^2+y^2=7xy$ then, $\log \frac{1}{3}\left(x+y\right)=?$

 The value of $\log {\left(0.65\right)}^2$

What should come in the place of ($?$) for the expression given below?

${\log }_2\left(4\right)-\frac{{\log }_3\left(9\right)}{{\log }_4\left(16\right)}+\frac{{\log }_5\left(25\right)}{{\log }_6\left(36\right)}=?$

What should come in the place of ($?$) for the expression given below?

$\frac{{\log }_{10}\left(100\right)}{{\log }_5\left(25\right)}+\frac{{\log }_{10}\left(10\right)}{{\log }_5\left(5\right)}+\frac{{\log }_{10}\left(1000\right)}{{\log }_5\left(125\right)}=?$

The characteristic of the logarithm $0.002359$ is

The base of common log is $10$. So $\log 100=?$

Which one is a common logarithm?

Find the value of  ${\log }_2\left(16\right)+{\log }_2\left(64\right)$ :

Match the List $\mathrm{I}$ and List $\mathrm{II}$ and select the correct answer using the given code:

If the $\log 1254=2.9275$, find the mantissa of $\log 12.54$ ______.

What is the value of $?$ in the following expression :

$\frac{{\log }_{3}16}{{\log }_{9}8\times {\log }_{4}10}=?$

Find the value of $( \log 500-\log 2)+\log 4 :$

Find the value of $x$ , given $-\log x = \frac{1}{2}$ :

If ${\log }_{ 2} p = 3$ and ${\log }_{\frac{1}{2}}q = -2$ , then :

If $\log x+\log x^2 = 3$ , then the value of $x$is _____ .

Find the value of ${\log }_2\left(\frac{3\times \sqrt{32}}{6\times \sqrt[3]{64}}\right)$ :

Find the value of ${\log }_{3\sqrt{2}}324 :$

Find the value of $x$ and $y$ , if ${625}^{{\log }_{5}x+{\log }_{5}y} = 5$ and $x+y = 130 :$