Chapter 10: Q. 403 (page 1064)

In the following exercises, graph each logarithmic function.
$y = \log_{5} (x)$

Short Answer

Expert verified

The graph of the function $y = \log_{5} (x)$ is

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 $y = \log_{5} (x)$ .

The equivalent exponential function is given as $5^{y} = x$ ,

Step 2. Make a table of values

We will use the exponential function $5^{y} = x$ to make a table of values.

$y$	$5^{y} = x$	$(x, y)$
$- 2$	$5^{- 2} = \frac{1}{25}$	$(\frac{1}{25}, - 2)$
$- 1$	$5^{- 1} = \frac{1}{5}$	$(\frac{1}{5}, 1)$
$0$	$5^{0} = 1$	$(1, 0)$
$1$	$5^{1} = 5$	$(5, 1)$
$2$	$5^{2} = 25$	$(25, 2)$

Step 3. Draw the graph

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

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In the following exercises, graph each logarithmic function.
$y = \log_{5} (x)$

Short Answer

Step by step solution

Step 1. Convert into exponential function

Step 2. Make a table of values

Step 3. Draw the graph

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In the following exercises, graph each logarithmic function.y=log5x

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

Decision Maths

Calculus

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each logarithmic function.
$y = \log_{5} (x)$