Chapter 10: Q. 10.46 (page 1027)

Graph:
$y = \log_{\frac{1}{4}} (x)$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information.

The given logarithm is,

$y = \log_{\frac{1}{4}} (x)$ .

Step 2. Converting into the exponential form.

$y = \log_{\frac{1}{4}} (x) {(\frac{1}{4})}^{y} = x$

Step 3. Finding the ordered pairs.

Using the point plotting method we get,

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

Step 4. Plotting the points on a graph.

The graph is

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Graph:
$y = \log_{\frac{1}{4}} (x)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Converting into the exponential form.

Step 3. Finding the ordered pairs.

Step 4. Plotting the points on a graph.

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Graph:y=log14x

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Converting into the exponential form.

Step 3. Finding the ordered pairs.

Step 4. Plotting the points on a graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Pure Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph:
$y = \log_{\frac{1}{4}} (x)$