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CBSE Class 10 Answered

Please solve this question 
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Asked by vikasg13.hardware | 28 Jun, 2018, 06:03: AM
answered-by-expert Expert Answer
begin mathsize 16px style 4 to the power of straight x subscript 1 end exponent space equals space 5
Taking space log space on space both space sides
log 4 to the power of straight x subscript 1 end exponent space equals space log 5
straight x subscript 1 space end subscript log 4 equals space log 5
straight x subscript 1 space equals space fraction numerator log 5 over denominator log 4 end fraction
Similarly space straight x subscript 2 equals fraction numerator log 6 over denominator log 5 end fraction comma space straight x subscript 3 equals fraction numerator log 7 over denominator log 5 end fraction..... comma space straight x subscript 124 space equals space fraction numerator log 128 over denominator log 124 end fraction
straight x subscript 1 straight x subscript 2..... straight x subscript 124 equals fraction numerator log 5 over denominator log 4 end fraction cross times fraction numerator log 6 over denominator log 5 end fraction cross times fraction numerator log 7 over denominator log 5 end fraction cross times....... cross times space fraction numerator log 128 over denominator log 124 end fraction
space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log 128 over denominator log 4 end fraction
space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log 2 to the power of 7 over denominator log 2 squared end fraction
space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 7 log 2 over denominator 2 log 2 end fraction
space space space space space space space space space space space space space space space space space space space space space space space equals 7 over 2 end style
Answered by Sneha shidid | 29 Jun, 2018, 09:49: AM
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