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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. 182 (page 1034)

In the following exercises, solve each logarithmic equation. $y = \log_{1.5} (x)$

Short Answer

Expert verified

The graph is

Step by step solution

01

Given information

Given the function $y = \log_{1.5} (x)$

02

Rewriting in exponential form

Rewriting in exponential form, we get

$y = \log_{1.5} (x) {(1.5)}^{y} = x$

03

Using the point plotting method

Using the point plotting, we get

$y$	${(1.5)}^{y} = x$	$(x, y)$
$0$	$1$	$(1, 0)$
$- 1$	$\frac{2}{3}$	$(\frac{2}{3}, - 1)$
$1$	$1.5$	$(1.5, 1)$

04

Sketch the graph by plotting points

Plotting the points, we get

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