If $lo{g}_{10}3log\_\{10\}3$ = 0.4771, then the value of log 15 + log 2 =

The value of $\sqrt{\frac{x}{y}+2+\frac{y}{x}}\backslash sqrt\{\backslash frac\{x\}\{y\}+2+\backslash frac\{y\}\{x\}\}$ =

$\sqrt{3}+\sqrt{5}\backslash sqrt3\; +\backslash sqrt5$ is a ………

If a + b = 5, ab = 6, then $a^3+b^{3}a^3+b^3$ =

2 log 3 – 3 log 2 =

$lo{g}_2(lo{g}_{25}5)=log\_2\backslash ,(log\_\{25\}\backslash ,5)=$

If $a^x=(\frac{a}{k}{)}^y=k^{m}then\frac{1}{x}-\frac{1}{y}=a^x=(\backslash frac\; \{a\}\{k\})^y=k^m\; \backslash ,then\; \backslash ,\; \backslash frac\{1\}\{x\}-\backslash frac\{1\}\{y\}=$

The H.C.F. of the numbers $3^7\times 5^3\times 2^{4}3^7\backslash times5^3\backslash times2^4$ and $3^2\times 7^4\times 2^{8}3^2\backslash times7^4\backslash times2^8$ is .............

The expanded form of log $\frac{343}{125}\backslash frac\{343\}\{125\}$ is ...............

The value of $lo{g}_{10}0.01log\_\{10\}\backslash ,\{0.01\}$ is .............