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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 187 (page 1034)

In the following exercises, solve each logarithmic equation $y = \log_{0.6} x$

Short Answer

Expert verified

The graph is

Step by step solution

Given information

Given function , $y = \log_{0.6} (x)$

Rewriting in exponential form

Rewriting, we get

$y = \log_{0.6} (x) {(0.6)}^{y} = x$

Using the point plotting method

Using the point plotting, we get

$y$	${(0.6)}^{y} = x$	$(x, y)$
$0$	$1$	$(1, 0)$
$- 1$	$\frac{5}{3}$	$(\frac{5}{3}, - 1)$
$1$	$0.6$	$(0.6, 1)$

Sketching the graph

The graph is

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Most popular questions from this chapter

In the following exercises, graph each exponential function:

$f (x) = 3^{x + 2}$

For functions $f (x) = 4 x - 3$ and

$g (x) = 6 x - 5$ , find

$(f \circ g) (x)$
$(g \circ f) (x)$
$(f \cdot g) (x)$

Convert from exponential to logarithmic form:

$17^{x} = \sqrt[5]{17}$ .

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

$ⓐ 2^{x} ⓑ 2^{x + 1} ⓒ 2^{x - 1} ⓓ 2^{x} + 2 ⓔ 2^{x} - 2 ⓕ 3^{x}$

The given graph is,

Convert from exponential to logarithmic form:

32^{x} = \sqrt[4]{32}

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In the following exercises, solve each logarithmic equation y=log0.6x

Short Answer

Step by step solution

Given information

Rewriting in exponential form

Using the point plotting method

Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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In the following exercises, solve each logarithmic equation $y = \log_{0.6} x$