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

Given information

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

Rewriting in exponential form

Rewriting in exponential form, we get

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

Using the point plotting method

Using the point plotting, we get

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

Sketch the graph by plotting points

Plotting the points, we get

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

Short Answer

Step by step solution

Given information

Rewriting in exponential form

Using the point plotting method

Sketch the graph by plotting points

One App. One Place for Learning.

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In the following exercises, solve each logarithmic equation.y=log1.5x

Short Answer

Step by step solution

Given information

Rewriting in exponential form

Using the point plotting method

Sketch the graph by plotting points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

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