फलन (f(x)=\log_{3}(x-1)+\log_{3}(5-x)) का प्रांत क्या है?

What is the domain of (f(x)=\log_{3}(x-1)+\log_{3}(5-x))?

Explanation opens after your attempt
Correct Answer

A. ( (1,5) )

Step 1

Concept

Both logarithm inputs must be positive. Hence (x>1) and (x<5), so (1<x<5).

Step 2

Why this answer is correct

The correct answer is A. ( (1,5) ). Both logarithm inputs must be positive. Hence (x>1) and (x<5), so (1<x<5).

Step 3

Exam Tip

दोनों लघुगणकों के अंदर धनात्मक होना चाहिए। इसलिए (x>1) और (x<5), अर्थात (1<x<5)।

Question me issue ya doubt hai?

Answer, explanation, typing mistake ya suggestion directly hamari team ko bhejein. 📱Helpline (Call / WhatsApp): +91 7272824365

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\log_{3}(x-1)+\log_{3}(5-x)) का प्रांत क्या है? / What is the domain of (f(x)=\log_{3}(x-1)+\log_{3}(5-x))?

Correct Answer: A. ( (1,5) ). Explanation: दोनों लघुगणकों के अंदर धनात्मक होना चाहिए। इसलिए (x>1) और (x<5), अर्थात (1<x<5)। / Both logarithm inputs must be positive. Hence (x>1) and (x<5), so (1<x<5).

Which concept should I revise for this Mathematics MCQ?

Both logarithm inputs must be positive. Hence (x>1) and (x<5), so (1<x<5).

What exam hint can help solve this Mathematics question?

दोनों लघुगणकों के अंदर धनात्मक होना चाहिए। इसलिए (x>1) और (x<5), अर्थात (1<x<5)।