Ask a Doubt
Request a call back

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

JEE Class main Answered

Sir pls solve the following.
question image
Asked by rsudipto | 27 Dec, 2018, 09:53: PM
answered-by-expert Expert Answer
Raised to the power of a base number and logarithm to the same base are reciprocal to each other.
 
Hence the given expression is written as,  begin mathsize 12px style open curly brackets space open parentheses square root of 9 to the power of x minus 1 end exponent plus 7 end root space close parentheses space plus space open parentheses 3 to the power of x minus 1 end exponent plus 1 close parentheses to the power of bevelled fraction numerator negative 1 over denominator 5 end fraction end exponent space close curly brackets to the power of 7 end style
6th term of binomial expansion is given by,
 
  begin mathsize 12px style C presuperscript 7 subscript 5 space open parentheses square root of 9 to the power of x minus 1 end exponent plus 7 end root close parentheses squared space space open square brackets open parentheses 3 to the power of x minus 1 end exponent plus 1 close parentheses to the power of bevelled fraction numerator negative 1 over denominator 5 end fraction end exponent close square brackets to the power of 5 space space space equals space C presuperscript 7 subscript 5 open parentheses 9 to the power of x minus 1 end exponent plus 7 close parentheses space open parentheses 3 to the power of x minus 1 end exponent plus 1 close parentheses to the power of negative 1 end exponent space equals space 84 H e n c e comma space space space 21 space open parentheses fraction numerator 9 to the power of x minus 1 end exponent plus 7 over denominator 3 to the power of x minus 1 end exponent plus 1 end fraction close parentheses space space equals space 84 space space space space space o r space space space fraction numerator 9 to the power of x minus 1 end exponent plus 7 over denominator 3 to the power of x minus 1 end exponent plus 1 end fraction space equals space 4 H e n c e comma space space 9 to the power of x minus 1 end exponent plus 7 space equals space 4 space open parentheses 3 to the power of x minus 1 end exponent plus 1 close parentheses 9 to the power of x over 9 space plus space 7 space equals space fraction numerator 4 cross times 3 to the power of x over denominator 3 end fraction space plus space 4 9 to the power of x space plus space 63 space equals space 12 cross times 3 to the power of x space plus space 36 3 to the power of 2 x end exponent space minus space 12 cross times 3 to the power of x space plus space 27 space equals space 0 L e t space u s space s u b s t i t u t e comma space space space y space equals space 3 to the power of x space comma space t h e n space w e space h a v e space space y squared space minus space 12 y space plus space 27 space equals space left parenthesis y minus 3 right parenthesis left parenthesis y minus 9 right parenthesis space equals 0 i f space y space equals space 3 comma space t h e n space 3 to the power of x space equals space 3 space comma space space h e n c e space x space equals 1 i f space y space equals space 9 comma space t h e n space 3 to the power of x space equals space 9 comma space space h e n c e space x space equals 2 end style
Answered by Thiyagarajan K | 28 Dec, 2018, 12:25: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
find
question image
Asked by komuravellysravanthi4 | 26 Apr, 2024, 02:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solution please
question image
Asked by piyurawriya | 24 Apr, 2024, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
answer
question image
Asked by piyurawriya | 23 Apr, 2024, 02:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
let M be the skew symmetric orthogonal real matrix.Then only possible eigen values are
Asked by kakumanumanoj282 | 20 Apr, 2024, 06:07: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
sin-1(sin5π/3)
Asked by nirmalraulji5 | 18 Apr, 2024, 09:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
1
question image
Asked by hadiabbas803 | 17 Apr, 2024, 07:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Cos66+sin84
Asked by veerababukoppisettiveerababu3 | 17 Apr, 2024, 05:49: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
how to solve this in financial calculator by log
question image
Asked by usakoyalshailesh | 15 Apr, 2024, 09:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
dout
question image
Asked by satnamk123 | 15 Apr, 2024, 01:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
I am not able to get the idea for solving this question I know properties of det.
question image
Asked by sharmalalita847 | 14 Apr, 2024, 09:21: PM
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
×