Answer

Verified

393.6k+ views

**Hint:**In this question we have to find the value $x$ where the function given in the question is defined. We all know that logarithm is defined only for the value of $x$ which is greater than $1$ . Therefore, we will put the variable part of the function given in the question greater than $1$ to find the domain of the function. The domain of the function is the value of $x$ where the function is defined.

**Complete step-by-step solution:**

The given function is $f\left( x \right) = \log \left( {x - 5} \right)$ .

For a function if we have to find the domain then find the value of $x$ where that particular function is defined

Now, to find the domain of the function we will put the variable part of the function greater than $1$ . Therefore, we can write:

$

x - 5 > 0 \\

\Rightarrow x > 5

$

Now, from the above we can write $x \in \left( {5,\infty } \right)$ . Therefore, the domain of $\log \left( {x - 5} \right)$ is $\left( {5,\infty } \right)$ .

**Hence, the correct option is (A).**

**Note:**The domain of a logarithmic function is greater than $1$ and the range of the logarithmic function is the set of real numbers. For a function if we have to find the range then find the value of $y$ the function can take.

The important thing in this question is that we should have an idea about the value of $x$ where $\log $ is defined. Because if we don’t know that we will not be able to start the question. And be careful about whether to put an open bracket or close bracket on the values of $x$ because it will lead to incorrect answers.

Recently Updated Pages

Find the value of cos 260 circ sin 230 circ + tan 230 class 10 maths CBSE

How do you identify dfrac1cot2x + 1 class 10 maths CBSE

Evaluate the following sin 30circ cos 30circ class 10 maths CBSE

What will be the area of the triangle formed by the class 10 maths CBSE

Find the missing number in the pattern 2581117202326 class 10 maths CBSE

What is the standard form of y left 2x 3 right2 class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Name 10 Living and Non living things class 9 biology CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail