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If √(3^n) is 6561, then n is?? 66. 81. 243. 27.?
Most Upvoted Answer
If √(3^n) is 6561, then n is?? 66. 81. 243. 27.?
Solution:
Understanding the question
We are given that √(3^n) = 6561, and we need to find the value of n.
Solving the equation
We know that √(3^n) = 6561 can be written as 3^(n/2) = 6561.
Taking the logarithm of both sides with base 3, we get:
n/2 = log3(6561)
n/2 = 8
n = 16
Therefore, the value of n is 16.
Final Answer
The value of n is 16.
Understanding the question
We are given that √(3^n) = 6561, and we need to find the value of n.
Solving the equation
We know that √(3^n) = 6561 can be written as 3^(n/2) = 6561.
Taking the logarithm of both sides with base 3, we get:
n/2 = log3(6561)
n/2 = 8
n = 16
Therefore, the value of n is 16.
Final Answer
The value of n is 16.
Community Answer
If √(3^n) is 6561, then n is?? 66. 81. 243. 27.?
Answer should be 16 as 3 ^8 is 6561 and it is in root so n ×2 ie 16
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If √(3^n) is 6561, then n is?? 66. 81. 243. 27.? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If √(3^n) is 6561, then n is?? 66. 81. 243. 27.? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If √(3^n) is 6561, then n is?? 66. 81. 243. 27.?.
If √(3^n) is 6561, then n is?? 66. 81. 243. 27.? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If √(3^n) is 6561, then n is?? 66. 81. 243. 27.? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If √(3^n) is 6561, then n is?? 66. 81. 243. 27.?.
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