Plzzz solv it fast no 20 in the following image
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Answer is attached below.
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Here we will use properties of log
log(a+b)/log2= log(a-b)/log5= log4/log0.5
These all are defined on base 10
we will use base change property
log(a+b)/log2= log(a-b)/log5
log(a+b)/log(a-b) = log5/log 2
log ↓(a-b) (a+b) = log ↓ 5 2
we get
a+b=2. -----(1)
a-b= 5 ------(2)
adding (1) and (2)
we get 2a = 7
a= 3.5
and b= -1.5
log(a+b)/log2= log(a-b)/log5= log4/log0.5
These all are defined on base 10
we will use base change property
log(a+b)/log2= log(a-b)/log5
log(a+b)/log(a-b) = log5/log 2
log ↓(a-b) (a+b) = log ↓ 5 2
we get
a+b=2. -----(1)
a-b= 5 ------(2)
adding (1) and (2)
we get 2a = 7
a= 3.5
and b= -1.5
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