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CBSE Class 11-science Answered

Find x+y
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Asked by dineshchem108 | 31 Aug, 2018, 01:58: PM
answered-by-expert Expert Answer
begin mathsize 16px style log subscript 2 straight x space plus space log subscript straight x 2 space equals space 10 over 3 space space.... left parenthesis 1 right parenthesis log subscript 2 straight y space plus space log subscript straight y 2 space equals 10 over 3 space space space.... left parenthesis 2 right parenthesis Equation space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis space are space similar comma space but space the space variable space are space different. From left parenthesis 1 right parenthesis log subscript 2 straight x space plus space log subscript straight x 2 space equals space 10 over 3 space rightwards double arrow log subscript 2 straight x space plus space fraction numerator 1 over denominator log subscript 2 straight x space end fraction space equals space 10 over 3 rightwards double arrow open parentheses log subscript 2 straight x close parentheses squared space plus space 1 space equals space 10 over 3 space cross times space log subscript 2 straight x rightwards double arrow 3 open parentheses log subscript 2 straight x close parentheses squared minus 10 space log subscript 2 straight x space plus space space 3 equals space 0 Let space log subscript 2 straight x space equals space straight a rightwards double arrow 3 straight a squared minus 10 straight a space plus space space 3 equals space 0 rightwards double arrow open parentheses straight a space minus space 3 close parentheses open parentheses 3 straight a space minus space 1 close parentheses equals 0 rightwards double arrow straight a space equals space 3 space or space straight a space equals space 1 third rightwards double arrow log subscript 2 straight x space equals space 3 space or space space log subscript 2 straight x space equals 1 third rightwards double arrow straight x space equals space 2 cubed space space equals space 8 space or space straight x space equals space 2 to the power of 1 third end exponent Similarly space after space solving space left parenthesis 2 right parenthesis comma space we space get rightwards double arrow straight y space equals space 2 cubed space equals space 8 space or space straight y space equals space 2 to the power of 1 third end exponent space space space space space space space space space space straight x space plus space straight y space equals space 16 space or space 8 space plus space space 2 to the power of 1 third end exponent space or space space 2 to the power of 1 third end exponent space plus space 2 to the power of 1 third end exponent. end style
Answered by Yasmeen Khan | 31 Aug, 2018, 07:06: PM

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