Chapter 5: Q 5. (page 297)

The graph of every logarithmic function $f (x) = \log_{a} (x)$ where $a > 0$ , and $a \neq 1$ , passes through three points: _ ,
_ , and __ .

Short Answer

Expert verified

The three points are : $(a, 1); (1, 0) a n d (\frac{1}{a}, - 1)$

Step by step solution

Step 1. Given information

Given expression is $f (x) = \log_{a} x$

Step 2. Find the point

Let us assume, three points on the $x - a x i s$ are $a, 1, \frac{1}{a}$

Now,

$f (a) = 1 f (1) = 0 f (\frac{1}{a}) = - 1$

Hence, there points on the function are : $(a, 1); (1, 0) a n d (\frac{1}{a}, - 1)$

Step 3. Relevant picture

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The graph of every logarithmic function $f (x) = \log_{a} (x)$ where $a > 0$ , and $a \neq 1$ , passes through three points: _ ,
_ , and __ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the point

Step 3. Relevant picture

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The graph of every logarithmic function f(x)=loga(x)where a>0, and a≠1, passes through three points: _____ ,___________ , and ________ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the point

Step 3. Relevant picture

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

The graph of every logarithmic function $f (x) = \log_{a} (x)$ where $a > 0$ , and $a \neq 1$ , passes through three points: _ ,
_ , and __ .