The number of distinct integers $$n$$ for which $$\log_{\frac{1}{4}}({n^{2}-7n+11})0$$,is

Question

The number of distinct integers $$n$$ for which $$\log_{\frac{1}{4}}({n^{2}-7n+11})>0$$,is

Accepted Answer

0. For base of log in range 1 / 4 ∈ ( 0 , 1 ) 1/4\in(0,1) 1/4 ∈ ( 0 , 1 ) and \log_{1/4}(x)&gt;0 is true only if 0<x<1. For integer n, x = n 2 − 7 n + 11 x=n^2-7n+11 x = n 2 − 7 n + 11 is an integer, so it cannot lie strictly between 0 and 1. So, there is no integer value for which this inequ

The number of distinct integers $n$ for which $\log_{\frac{1}{4}}({n^{2}-7n+11})>0$ ,is

The number of distinct integers $n$ for which $\log_{\frac{1}{4}}({n^{2}-7n+11})>0$ ,is

The number of distinct integers nnn for which \log_{\frac{1}{4}}({n^{2}-7n+11})&gt;0,is

The number of distinct integers nnn for which \log_{\frac{1}{4}}({n^{2}-7n+11})&gt;0,is

The number of distinct integers $n$ for which $\log_{\frac{1}{4}}({n^{2}-7n+11})>0$ ,is

The number of distinct integers $n$ for which $\log_{\frac{1}{4}}({n^{2}-7n+11})>0$ ,is