UPSC Exam > UPSC Questions > Log base as root 2 64 is equal to?
Start Learning for Free
Log base as root 2 64 is equal to?
Most Upvoted Answer
Log base as root 2 64 is equal to?
Calculating Log base as root 2 64
Log base as root 2 64 is asking for the exponent to which the base (root 2) must be raised to obtain the number 64.
- Step 1: Express 64 as a power of the base (root 2) by using the exponential form. 64 = (root 2)^x
- Step 2: Solve for x by equating the expression to 64. root 2 raised to what power equals 64?
- Step 3: Rewrite 64 as a power of 2 to simplify the calculation. 64 = 2^6
- Step 4: Substitute the values into the equation: (root 2)^x = 2^6
- Step 5: Since root 2 is the square root of 2, we can rewrite the equation as 2^(1/2)^x = 2^6
- Step 6: Equate the exponents: 1/2 * x = 6
- Step 7: Solve for x: x = 6 * 2 = 12
Therefore, log base as root 2 64 is equal to 12. This means that the exponent to which the base root 2 must be raised to obtain 64 is 12.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Log base as root 2 64 is equal to?
Question Description
Log base as root 2 64 is equal to? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Log base as root 2 64 is equal to? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Log base as root 2 64 is equal to?.
Log base as root 2 64 is equal to? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Log base as root 2 64 is equal to? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Log base as root 2 64 is equal to?.
Solutions for Log base as root 2 64 is equal to? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Log base as root 2 64 is equal to? defined & explained in the simplest way possible. Besides giving the explanation of
Log base as root 2 64 is equal to?, a detailed solution for Log base as root 2 64 is equal to? has been provided alongside types of Log base as root 2 64 is equal to? theory, EduRev gives you an
ample number of questions to practice Log base as root 2 64 is equal to? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup