Question

want answers fast.please solve

Answer 1

The answers are

1. (A) 

   $\frac{1}{log_{3}\pi} + \frac{1}{log_{4}\pi} = log_{\pi}4+log_{\pi}3 = log_{\pi}12 \ \textless \ 3$

So greatest integer value of x will be 2
2. (A) 

    $log_{1/3}(2x)\ \textgreater \ log_{1/3}(x+10) \implies 2x\ \textless \ x+10 \implies x\ \textless \ 10$

3. (B)

    [tex]log_{2}( \frac{x-1}{x-2} )\ \textless \ 0 \implies \frac{x-1}{x-2} \ \textless \ 1 \\ \\ 1+\frac{1}{x-2} \ \textless \ 1 \implies x-2\ \textless \ 0 \implies x\ \textless \ 2 \\ \\ x\: \in (-\infty,2)[/tex]