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ICSE Class 9 Answered

Please solve this and explain all the steps.
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Asked by aastharoy997 | 03 Apr, 2020, 11:17: AM
answered-by-expert Expert Answer
3x  = (0.03)y  = 1000
begin mathsize 16px style rightwards double arrow 3 to the power of straight x space equals space 10 cubed rightwards double arrow straight x space log 3 space equals space 3 log 10 rightwards double arrow log 3 space equals space 3 over straight x space space... space left parenthesis 1 right parenthesis left parenthesis 0.03 right parenthesis to the power of straight y space equals space 10 cubed rightwards double arrow ylog 3 over 100 equals 3 log 10 rightwards double arrow log 3 over 100 equals space 3 over straight y space space space... space left parenthesis 2 right parenthesis Subtracting space left parenthesis 2 right parenthesis space from space left parenthesis 1 right parenthesis comma space we space get log 3 space minus space log 3 over 100 space equals space 3 over straight x space minus space 3 over straight y rightwards double arrow log fraction numerator 3 cross times 100 over denominator 3 end fraction equals space 3 over straight x space minus space 3 over straight y rightwards double arrow log 10 squared space equals space 3 open parentheses 1 over straight x minus 1 over straight y close parentheses rightwards double arrow fraction numerator 1 over denominator space straight x end fraction minus 1 over straight y space equals 2 over 3 end style
 
Answered by Yasmeen Khan | 03 Apr, 2020, 01:27: PM

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