Question

Number of positive integral values of x satisfying
log2 (4 – x) > 1 is​

Answer 1

Answer:

According to the question,

$log_{2}(4 - x) > 1 \\ 4 - x > {2}^{1}$

ln above step I have converted logarithmic form to exponential form i.e.

$if \: \: log_{y}(x) = n \\ then \\ x = {y}^{n}$

As,

$4 - x > 2 \\ \implies x < 2$

As we have to calculate the positive integral values of x.

So,

From above situation only one positive integral value can satisfy above situations which is equals to 1.

As,

Only 1 is the positive integer which is less than 2.