Q. 405 In the following exercises, grap... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 405 (page 1064)

In the following exercises, graph each logarithmic function.
$y = \log_{0.8} (x)$

Short Answer

Expert verified

The graph of the function $y = \log_{0.8} (x)$ is given as

Step by step solution

Step 1. Convert into exponential function

To graph a logarithmic function, it is easiest to convert the equation to its exponential form,

Consider the logarithmic function $y = \log_{0.8} (x)$ .

The equivalent exponential function is given as $0 . 8^{y} = x$ .

Step 2. Make a table of values

We will use the exponential function $0 . 8^{y} = x$ to make a table of values.

$y$	$0 . 8^{y} = x$	$(x, y)$
$- 2$	$0 . 8^{- 2} = 1.5625$	$(1.5625, - 2)$
$- 1$	$0 . 8^{- 1} = 1.25$	$(1.25, - 1)$
$0$	$0 . 8^{0} = 1$	$(1, 0)$
$1$	$0 . 8^{1} = 0.8$	role="math" localid="1645084040109" $(0.8, 1)$
$2$	$0 . 8^{2} = 0.64$	$(0.64, 2)$

Step 3. Draw the graph

Using the table of values the graph of the function is given as

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91影视

In the following exercises, graph each logarithmic function.
$y = \log_{0.8} (x)$

Short Answer

Step by step solution

Step 1. Convert into exponential function

Step 2. Make a table of values

Step 3. Draw the graph

One App. One Place for Learning.

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91影视

In the following exercises, graph each logarithmic function.y=log0.8x

Short Answer

Step by step solution

Step 1. Convert into exponential function

Step 2. Make a table of values

Step 3. Draw the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Geometry

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each logarithmic function.
$y = \log_{0.8} (x)$