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ICSE Class 9 Answered

a=b1/3=c1/5=d1/7=e1/9;find logaabcde
Asked by Sunita | 26 Jan, 2018, 02:25: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight a equals straight b to the power of 1 third end exponent equals straight c to the power of 1 fifth end exponent space equals straight d to the power of 1 over 7 end exponent equals straight e to the power of 1 over 9 end exponent space equals space straight k Consider comma straight a space equals space straight k log space straight a space equals space log space straight k log space straight b to the power of 1 third end exponent space equals space log space straight k space rightwards double arrow space 1 third log space straight b space equals space log space straight k rightwards double arrow log space straight b space equals 3 log space straight k similarly comma log space straight c space equals space 5 log space straight k log space straight d space equals space 7 log space straight k log space straight e space equals space 9 log space straight k Hence comma log subscript straight a space abcd equals fraction numerator log space abcd over denominator log space straight a end fraction equals fraction numerator log space straight a plus space log space straight b space plus space log space straight c space plus space log space straight d space plus space log space straight e over denominator log space straight a end fraction equals fraction numerator log space straight k space plus 3 log space straight k space plus space 5 log space straight k space plus space 7 log space straight k space plus space 9 log space straight k space over denominator log space straight k end fraction equals fraction numerator 25 log space straight k over denominator log space straight k end fraction equals space 25 end style
Answered by Sneha shidid | 26 Jan, 2018, 03:09: PM

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ICSE 9 - Maths
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If log( n + m) equaTu log M + login show that n equal to M by m -1
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