# How do you graph y=3log_2x?

Dec 22, 2016

Socratic graph is inserted.

#### Explanation:

$y = 3 \left(\log \frac{x}{\log} 2\right) ,$ using ${\log}_{b} a = \log \frac{a}{\log} b$

$x > 0$, to make the logarithm real.

The graph is inserted.

x-intercept ( y = 0 ): 1

As $x \to \infty , y \to \infty$ and as $x \to 0 , y \to - \infty$.

See this logarithmic rise in the graph

graph{1/3y log 2- log x = 0 [-5, 5, -2.5, 2.5]}