# How do you graph y>=log_6 x?

Nov 20, 2016

Graph is inserted. The region including the graph and above is the answer. See explanation

#### Explanation:

Use ${\log}_{b} a = \log \frac{a}{\log} b$.

$y = \log \frac{x}{\log} 6$, x > 0, to make log x real

The graph cuts x-axis at (0, 1).

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

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

For any (x, y) on or above the graph, $y \ge {\log}_{6} x$

graph{log x/log 6 [-2.5, 2.5, -1.25, 1.25]}