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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 10.43 (page 1025)

Graph:
$y = \log_{3} (x)$

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information.

The given expression is,

$y = \log_{3} (x)$ .

02

Step 2. Converting to exponential form.

$y = \log_{3} (x) 3^{y} = x$

03

Step 3. Finding the ordered pairs.

Using the point plotting method we get,

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

04

Step 4. Plotting the points on a graph.

The graph is

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