# How do you graph y=2-log_2 x?

Dec 21, 2016

Graph is inserted

#### Explanation:

$x > 0$, to make logarithm real.

Changing to common logarithm,

$y = 2 - \log \frac{x}{\log} 2$

x-intercept ( y = 0 ) : 4

As $x \to 0 , y \to \infty$.

As $x \to \infty , y \to - \infty$.

The graph om a semi-log graph paper ( y vs X = log x ), the graph

will be a straight line

graph{(2-y)log 2-log x=0 [-5, 5, -2.5, 2.5]}