Request a call back

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

CBSE Class 9 Answered

I f space 2 to the power of x equals 3 to the power of y equals 6 to the power of z space comma space p r o v e space t h a t space space 1 over x plus 1 over y plus 1 over z equals 0 space o r space z equals fraction numerator x y over denominator x plus y end fraction
Asked by kishor.kp14 | 22 Jun, 2019, 10:27: AM
answered-by-expert Expert Answer
S i n c e comma space 2 to the power of x equals 3 to the power of y equals 6 to the power of z equals a
Therefore, x ln 2=ln a, y ln 3=ln a, z ln 6=ln a
x equals fraction numerator ln space a over denominator ln space 2 end fraction comma space y equals fraction numerator ln space a over denominator ln space 3 end fraction comma space z equals fraction numerator ln space a over denominator ln space 6 end fraction
fraction numerator x y over denominator x plus y end fraction equals fraction numerator fraction numerator ln space a over denominator ln space 2 end fraction cross times fraction numerator ln space a over denominator ln space 3 end fraction over denominator fraction numerator ln space a over denominator ln space 2 end fraction plus fraction numerator ln space a over denominator ln space 3 end fraction end fraction equals fraction numerator left parenthesis ln space a right parenthesis squared over denominator ln space a left parenthesis ln space 2 plus ln space 3 right parenthesis end fraction
equals fraction numerator ln space a over denominator ln space 6 end fraction equals z
Answered by Renu Varma | 22 Jun, 2019, 09:35: PM
CBSE 9 - Maths
Asked by dhokwaltushar | 25 Mar, 2024, 04:26: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by durgavenkatlakshmi1 | 20 Mar, 2024, 03:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ammudeep0123 | 20 Mar, 2024, 07:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by narendrapatidar39877 | 09 Mar, 2024, 11:01: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by raushanyda | 08 Mar, 2024, 12:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by utkarshrajan70 | 07 Mar, 2024, 12:47: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by vachishtakawade | 01 Mar, 2024, 07:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by shokeenvanshika294 | 27 Feb, 2024, 05:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by khshivam2006 | 26 Feb, 2024, 04:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×