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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. 178 (page 1034)

In the following exercises, graph each logarithmic function.
$y = \log_{2} x$

Short Answer

Expert verified

The graph is

Step by step solution

01

Given information

Given the function $y = \log_{2} x$

02

Rewrite in exponential form

Rewriting, we get

$y = \log_{2} x 2^{y} = x$

03

Using the point plotting method

Using point plotting, we get

$y$	$2^{y} = x$	$(x, y)$
$0$	$1$	$(1, 0)$
$- 1$	$\frac{1}{2}$	$(\frac{1}{2}, - 1)$
$1$	$2$	$(2, 1)$

04

Sketch the graph by plotting the points

The graph is

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Most popular questions from this chapter

Convert each logarithmic equation to exponential form:

$4 = \log_{x} (81)$ .

In the following exercises, solve each logarithmic equation

$y = \log_{\frac{1}{5}} (x)$

For functions $f (x) = 3 x - 2$ and

$g (x) = 5 x + 1$ , find

$(f 鈭� g) (x)$
$(g 鈭� f) (x)$
$(f 路 g) (x)$

In the following exercises, match the graphs to one of the following functions:

$鈸� 2^{x} 鈸� 2^{x + 1} 鈸� 2^{x 鈭� 1} 鈸� 2^{x} + 2 鈸� 2^{x} 鈭� 2 鈸� 3^{x}$

The given graph is,

On the same coordinate system, graph:

$f (x) = 3^{x}$

$g (x) = 3^{x + 1}$

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