Question

In the following exercises, solve each logarithmic equation $y={\log }_{0.6}x$

Short answer

The graph is

Step-by-step solution

Given information

Given function ,$y={\log }_{0.6}\left(x\right)$

Rewriting in exponential form

Rewriting, we get

$$\begin{gathered} y={\log }_{0.6}\left(x\right) \\ {(0.6)}^y=x \end{gathered}$$

Using the point plotting method

Using the point plotting, we get

$y$	${(0.6)}^y=x$	$(x,y)$
$0$	$1$	$(1,0)$
$-1$	$\frac{5}{3}$	$(\frac{5}{3},-1)$
$1$	$0.6$	$(0.6,1)$

Sketching the graph

The graph is