Question
Download Solution PDF का मान किसके बराबर है?
का मान किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
लघुगणक गुण
- गुणनफल नियम: किसी गुणनफल का लॉग दो लॉग के योग के बराबर होता है।
- भागफल नियम: एक भागफल का लॉग दो लॉग के अंतर के बराबर होता है।
- घात नियम: घात के लॉग में घातांक गुणांक बन जाता है।
- आधार का परिवर्तन नियम
यदि m = n;
⇒
गणना:
यहाँ, हमें
= log7 log7 (71/2 × 71/4 × 71/8)
= log7 log7 (7(1/2 + 1/4 + 1/8))
= log7 log7 (7(4 + 2 + 1)/8)
= log7 log7 (77/8)
घात नियम से;
= log7 (7/8) log77
= log7 (7/8) × 1 = log7 (7/8) = log7 7 – log7 8
= 1 – log7 8 = 1 – log7 23
= 1 – 3 log7 2
Last updated on Jun 18, 2025
->UPSC has extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.