সরল করুনঃ 3 log(36/25)+log(2/9)3-2 log(16/125)
Solution
Correct Answer: Option A
3log36/25 + log(2/9)³ - 2log16/125
= log(36/25)³ + log(2/9)³ - log(16/125)²
= log[(36/25)³ × (2/9)³ / (16/125)²]
= log[((36/25) × (36/25) × (36/25) × (2/9) × (2/9)) / ((16/125) × (16/125))]
= log[(36/25) × (36/25) × (36/25) × (2/9) × (2/9) × (125/16) × (125/16)]
= log2
= log(36/25)³ + log(2/9)³ - log(16/125)²
= log[(36/25)³ × (2/9)³ / (16/125)²]
= log[((36/25) × (36/25) × (36/25) × (2/9) × (2/9)) / ((16/125) × (16/125))]
= log[(36/25) × (36/25) × (36/25) × (2/9) × (2/9) × (125/16) × (125/16)]
= log2
Practice More Questions on Our App!
Download our app for free and access thousands of MCQ questions with detailed solutions