Question

If x=log(a+b) y=log(a-b) z=log(a²-b²). Then what is the relation between x,y,z

Answer 1

z = x  + y , if  x=log(a+b) y=log(a-b) z=log(a²-b²)

Step-by-step explanation:

x=log(a+b)

y=log(a-b)

z=log(a²-b²)

z = log(a²-b²)

=> z = log ( (a + b)(a - b) )

as we know that log(xy) = logx + logy

x = a + b  & y = a - b)

=> z = Log(a + b) + Log(a - b)

=> z = x  + y

z = x  + y , if  x=log(a+b) y=log(a-b) z=log(a²-b²)

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