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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 179 (page 1034)

In the following exercises, graph each logarithmic function.
$y = \log_{4} x$

Short Answer

Expert verified

The graph is

Step by step solution

Given information

Given the function $y = \log_{4} x$

Rewrite in exponential form

Rewriting, we get

$\log_{4} x = y 4^{y} = x$

Using the point plotting method

Using point plotting, we get

$y$	$4^{y} = x$	$(x, y)$
$0$	$1$	$(1, 0)$
$- 1$	$\frac{1}{4}$	$(\frac{1}{4}, - 1)$
$1$	$4$	$(4, 1)$

Sketch the graph by plotting the points

The graph is

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Most popular questions from this chapter

Convert from exponential to logarithmic form:

$10^{- 2} = \frac{1}{100}$ .

In the following exercises, solve each equation.

$e^{3 x} \cdot e^{4} = e^{10}$

In the following exercises, find the inverse of each function.

$f (x) = x^{2} - 9, x \geq 0$

In the following exercises, graph, on the same coordinate system, the inverse of the one-to-one function shown.

In the following exercises, solve each equation.

$\frac{e^{x^{2}}}{e^{3}} = e^{2 x}$

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In the following exercises, graph each logarithmic function.y=log4x

Short Answer

Step by step solution

Given information

Rewrite in exponential form

Using the point plotting method

Sketch the graph by plotting the points

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Most popular questions from this chapter

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In the following exercises, graph each logarithmic function.
$y = \log_{4} x$