Properties of logarithmic function Property (1) log_a 1=0 (2) log_a a=1 (3) log_a (xy)=log_a|x|+log_a|y| (4) log_a(x/y)=log_a |x|-log_a |y|`

Properties of logarithmic function Property (5)log_(a)(x^(n))=n log_(a)|x|(6)log_(a)^(n)x^(m)=(m)/(n)log_(a)x(7)x^(log_(a)y)=y^(log_(a)x)

1+log_(x)y=log_(2)y

Properties of logarithmic function Property (8) If a>1 then the values of f(x)=log_a x increases with an increase in x ie xlty hArr log_a x lt log_a y (9) If 0

log_(x rarr n)-log_(a)y=a,log_(a)y-log_(a)z=b,log_(a)z-log_(a)x=c

log_(2)(log_(2)(log_(3)x))=log_(2)(log_(2)(log_(2)y))=0 find (x+y)=?

y = log_a^x , dy/dx

If log_(2)(log_(2)(log_(3)x))=log_(3)(log_(3)(log_(2)y))=0 , then x-y is equal to :

If log_(2)(log_(2)(log_(3)x))=log_(2)(log_(3)(log_(2)y))=0 then the value of (x+y) is

(1)/(log_(x)xy)+(1)/(log_(y)xy)