$log\left[\frac{x+y}{3}\right]=\frac{1}{2}(logx+logy)log\backslash left[\backslash frac\{x+y\}\{3\}\backslash right]=\backslash frac\{1\}\{2\}\; (log\backslash ,x+log\backslash ,y)$,  then the value of $\frac{x}{y}+\frac{y}{x}\backslash frac\{x\}\{y\}+\backslash frac\{y\}\{x\}$ is .............

$lo{g}_{10}2log\_\{10\}2$ = 0.3010 the number of digits in $4^{2017}4^\{2017\}$ is .............

If a = $b^2=c^{3}b^2=c^3$ then $lo{g}_{c}log\_c$ ab = ………

If $x=lo{g}_{2}3x=log\_2\backslash ,3$ and $y=lo{g}_{2}5y=log\_2\backslash ,5$ then $lo{g}_{2}15log\_2\backslash ,15$ in terms of x and y is

If $a^2+b^2=c^{2}a^2+b^2=c^2$ then $lo{g}_a(c-b)+lo{g}_a(c+b)log\_a(c-b)+log\_a(c+b)$ = ................

Identify the terminating decimal.

Number of two digit numbers divisible by 3 is …………

$lo{g}_{10}125+lo{g}_{10}8=log\_\{10\}125+log\_\{10\}8\; =$

The relation a (b + c) = ab + ac is

If n is a natural number, then $8^n-3^{n}8^n-3^n$ is always divisible by ……………