1.

2) If x,y and z are three consecutive integers, prove that log (1+xz) 2 logy3+1

Answer»

Given, x, y, z are three consecutive numbers

Let y = athen , x = a - 1 , z = a + 1

Now,xz = ( a + 1 ) ( a - 1 ) = a² - 1

log ( 1 + zx )

= log ( 1 + a² - 1)

= log (a²)

= log(y²)

= 2logy



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