Real Number Quiz 5

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

$log_{10}2$ = 0.3010 the number of digits in $4^{2017}$ is .............

If a = $b^2=c^3$ then $log_c$ ab = ………

If $x=log_2\,3$ and $y=log_2\,5$ then $log_2\,15$ in terms of x and y is

If $a^2+b^2=c^2$ then $log_a(c-b)+log_a(c+b)$ = ................

Identify the terminating decimal.

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

$log_{10}125+log_{10}8 =$

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

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