Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

Solve:2log2(log2x)+ log1/2(log22root2x) =1

Asked by Anil | 05 May, 2017, 12:50: PM
answered-by-expert Expert Answer
begin mathsize 16px style 2 log subscript 2 left parenthesis log subscript 2 straight x right parenthesis plus space log subscript 1 divided by 2 end subscript left parenthesis log subscript 2 2 root 2 straight x right parenthesis space equals 1 Put space straight x equals 2 to the power of straight y rightwards double arrow 2 log subscript 2 left parenthesis straight y right parenthesis plus space log subscript 1 divided by 2 end subscript left parenthesis log subscript 2 2 open square brackets 2 cross times 2 to the power of straight y close square brackets to the power of 1 half end exponent right parenthesis space equals 1 rightwards double arrow 2 log subscript 2 left parenthesis straight y right parenthesis plus space log subscript 1 divided by 2 end subscript left parenthesis log subscript 2 2 to the power of fraction numerator straight y plus 3 over denominator 2 end fraction end exponent right parenthesis space equals 1 space rightwards double arrow 2 log subscript 2 left parenthesis straight y right parenthesis minus space log subscript 2 left parenthesis log subscript 2 2 to the power of fraction numerator straight y plus 3 over denominator 2 end fraction end exponent right parenthesis space equals 1 space rightwards double arrow log subscript 2 left parenthesis straight y right parenthesis squared minus log subscript 2 left parenthesis fraction numerator straight y plus 3 over denominator 2 end fraction right parenthesis space equals 1 rightwards double arrow log subscript 2 open parentheses fraction numerator straight y squared over denominator fraction numerator straight y plus 3 over denominator 2 end fraction end fraction close parentheses equals 1 rightwards double arrow fraction numerator straight y squared over denominator fraction numerator straight y plus 3 over denominator 2 end fraction end fraction equals 2 rightwards double arrow straight y squared equals straight y plus 3 rightwards double arrow straight y squared minus straight y minus 3 equals 0 Solving space quadratic space equation space using space formula space you space will space get space straight y equals fraction numerator 1 plus-or-minus square root of 13 over denominator 2 end fraction rightwards double arrow straight x equals 2 to the power of open parentheses fraction numerator 1 plus-or-minus square root of 13 over denominator 2 end fraction close parentheses end exponent end style
Answered by Sneha shidid | 08 May, 2017, 09:06: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 11-science - Maths
Find the range and domain of the following function :- f(x) = | x^2 - 1 |
question image
Asked by suryansh141107 | 16 Oct, 2023, 09:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
|x|³-7|x|+6=0 pls solve with modulus
Asked by sohammukherjee0007 | 04 Oct, 2023, 11:01: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
find relation between x,y and z x² + 4y² + 9z² - 2xy - 3xz - 6yz = 0
Asked by sundramsingh1707 | 11 Jun, 2022, 05:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
If f(x) = ex and g(x) = loge x then the value of fog(1) is
Asked by maarcusfelix2006 | 24 Jul, 2021, 07:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Find the equation of the locus which is at 5 units distance from the point A(3,_2)
Asked by Jagannadhameshwar5 | 15 Jul, 2021, 09:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Hello sir I need a full explanation of this sum find domain and range of f(x)=|2x-3|-3
Asked by seeni2005 | 12 Oct, 2020, 08:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Please help to solve  
question image
Asked by jasi01f4 | 06 Oct, 2020, 11:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Hello sir, Please explain this sum, Find the domain of the functions i) f(x) = 1/√(x^2 -5x + 6)  ii) f(x) = x^2+2x+1/x^2-8x+12
Asked by seeni2005 | 21 Sep, 2020, 03:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
4x+1 then x =
Asked by rajvirsinhzala16 | 14 Aug, 2020, 12:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
mod(2x-[x])=4 where [] represent greatest integer function  
Asked by hrishityelchuri2017 | 19 May, 2020, 09:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×