Chapter 5: Q 4. (page 297)

The domain of the logarithmic function $f (x) = \log_{a} x$ is _____.

Short Answer

Expert verified

The domain of the logarithmic function $f (x) = \log_{a} x$ is $(0, \infty)$ .

Step by step solution

Step 1. Given information

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

Step 2. Find value of 'x'

Let, $y = f (x)$

Then,

$y = \log_{a} x$

omitting logarithm , we have,

$x = {a^{y}}_{}$

Step 3. Find domain

The domain is $(0, \infty)$ as the value of $a^{y}$ may $0$ at minimum or $\infty$ at maximum.

Step 4. Check

The domain $(0, \infty)$ is appropriate for the function $f (x) = \log_{a} x$

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The domain of the logarithmic function $f (x) = \log_{a} x$ is _____.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find value of 'x'

Step 3. Find domain

Step 4. Check

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The domain of the logarithmic functionf(x)=logaxis _____.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find value of 'x'

Step 3. Find domain

Step 4. Check

One App. One Place for Learning.

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The domain of the logarithmic function $f (x) = \log_{a} x$ is _____.