Class 11 Exam > Class 11 Questions > Logx log18 (√2+√8) =1/3 then 1000x equal to?
Start Learning for Free
Logx log18 (√2+√8) =1/3 then 1000x equal to?
Verified Answer
Logx log18 (√2+√8) =1/3 then 1000x equal to?
logx (log18(√2+√8)) = 1/3
x1/3 = log18(√2+√8)
x1/3 = log18(3√2)
√18 = √9√2 = 3√2
So, x1/3 = log18(18)1/2
x1/3 = 1/2
(x1/3)3 = (1/2)3
x = 1/8. So, 1000x = 125.
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
Logx log18 (√2+√8) =1/3 then 1000x equal to?
Solution:
Step 1: Simplify the expression
We know that,
logx (a * b) = logx a + logx b
Using this property, we can simplify the given expression as:
logx log18 (√2 √8) = logx log18 (√2) + logx log18 (√8)
Now, we can simplify further as:
logx log18 (√2 √8) = logx (1/2) + logx 3
Step 2: Solve the expression
We are given that:
logx log18 (√2 √8) = 1/3
Substituting the simplified expression from Step 1, we get:
logx (1/2) + logx 3 = 1/3
Using the property:
logx a + logx b = logx (a * b)
We get:
logx (1/2 * 3) = 1/3
Simplifying further, we get:
logx (3/2) = 1/3
Step 3: Find the value of x
We are given that:
1000x = 27
Taking the logarithm of both sides with base 10, we get:
x log10 1000 = log10 27
x * 3 = 1.431
x = 0.477
Step 4: Find the value of 1000x
Multiplying x by 1000, we get:
1000x = 477
Therefore, 1000x = 477.
Community Answer
Logx log18 (√2+√8) =1/3 then 1000x equal to?
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Logx log18 (√2+√8) =1/3 then 1000x equal to?
Question Description
Logx log18 (√2+√8) =1/3 then 1000x equal to? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Logx log18 (√2+√8) =1/3 then 1000x equal to? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Logx log18 (√2+√8) =1/3 then 1000x equal to?.
Logx log18 (√2+√8) =1/3 then 1000x equal to? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Logx log18 (√2+√8) =1/3 then 1000x equal to? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Logx log18 (√2+√8) =1/3 then 1000x equal to?.
Solutions for Logx log18 (√2+√8) =1/3 then 1000x equal to? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Logx log18 (√2+√8) =1/3 then 1000x equal to? defined & explained in the simplest way possible. Besides giving the explanation of
Logx log18 (√2+√8) =1/3 then 1000x equal to?, a detailed solution for Logx log18 (√2+√8) =1/3 then 1000x equal to? has been provided alongside types of Logx log18 (√2+√8) =1/3 then 1000x equal to? theory, EduRev gives you an
ample number of questions to practice Logx log18 (√2+√8) =1/3 then 1000x equal to? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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