Class 12 Exam > Class 12 Questions > if 2 to the power x+y=10,2 to the power y+z=2...
Start Learning for Free
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x
?
Most Upvoted Answer
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 ...
**Solution:**
To find the value of 2 to the power x, we need to solve the given equations step by step.
Given equations:
1. 2^(xy) = 10
2. 2^(yz) = 20
3. 2^(zx) = 30
To solve these equations, we can take the logarithm of both sides:
1. xy = log2(10)
2. yz = log2(20)
3. zx = log2(30)
Now, let's solve equation 1 for y:
xy = log2(10)
y = log2(10) / x
Substitute this value of y in equation 2:
(log2(10) / x) * z = log2(20)
z = (log2(20) * x) / log2(10)
Similarly, substitute the values of y and z in equation 3:
(log2(30) * (log2(10) / x)) * x = log2(30)
(log2(30) * log2(10)) = x^2
x = sqrt(log2(30) * log2(10))
Now, to find the value of 2^(x), we can substitute the value of x in the equation:
2^(sqrt(log2(30) * log2(10)))
Therefore, the value of 2^(x) is given by the above expression.
Note: The calculation of the exact value of 2^(x) depends on the values of log2(10), log2(20), and log2(30), which can be approximated using a calculator.
To find the value of 2 to the power x, we need to solve the given equations step by step.
Given equations:
1. 2^(xy) = 10
2. 2^(yz) = 20
3. 2^(zx) = 30
To solve these equations, we can take the logarithm of both sides:
1. xy = log2(10)
2. yz = log2(20)
3. zx = log2(30)
Now, let's solve equation 1 for y:
xy = log2(10)
y = log2(10) / x
Substitute this value of y in equation 2:
(log2(10) / x) * z = log2(20)
z = (log2(20) * x) / log2(10)
Similarly, substitute the values of y and z in equation 3:
(log2(30) * (log2(10) / x)) * x = log2(30)
(log2(30) * log2(10)) = x^2
x = sqrt(log2(30) * log2(10))
Now, to find the value of 2^(x), we can substitute the value of x in the equation:
2^(sqrt(log2(30) * log2(10)))
Therefore, the value of 2^(x) is given by the above expression.
Note: The calculation of the exact value of 2^(x) depends on the values of log2(10), log2(20), and log2(30), which can be approximated using a calculator.
Community Answer
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 ...
Root under 15
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12?
Question Description
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12?.
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12?.
Solutions for if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? defined & explained in the simplest way possible. Besides giving the explanation of
if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12?, a detailed solution for if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? has been provided alongside types of if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? theory, EduRev gives you an
ample number of questions to practice if 2 to the power x+y=10,2 to the power y+z=20, 2 to the power z+x=30 , then find the value of 2 to the power x Related: Position Vector - Vector Algebra, Math, Class 12? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup