log (a-b)÷log 5 =log 4÷log 1/2=log (a+b)÷log 2
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Answer:
a=29/100 , b=21/100
Step-by-step explanation:
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We know that , log 4 = 2 log 2
log (1/2)= log 2^-1
=-log 2
log(a-b)= (2log2/-log2). log 5
log ( a-b) = - 2 log 5
= log (1/25)
a -b = 1/25..........(1)
Similarly,
log4/log (1/2)= log (a+b)/log2
-2log2 = log(a+b)
log(1/4)=log(a+b)
a+b = 1/4.......(2)
from 1 and 2,
a + b = 1/4
a - b. = 1/25
2a = 29/100
=> a= 29/200
Similarly,
b = 1/4 - a
b = 1/4 - 29/200
=> b = 21/200
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