Using the properties of logarithms decide whether each equat

Using the properties of logarithms, decide whether each equation is true or not. log (AB) = log (A) + log (B) log(A)/log(B) =log(A) - log(B) ln (A) ln (B) = ln (A) + ln (B) log (squareroot A) = 1/2 log (A) p ln (A) = ln (A^p) squareroot ln(A) = ln(A^(1/2))

Solution

(1) True

Product property like log(x*y)

if we expand the expression by the property of log it is equal to = log(x) + log(y)

(2) True

The log of a quotient is equal to the difference between the logs of the numerator and demoninator.

(3) False

It represent yhe natural log .

(4) True

expression by property logb{m^(n)} = n · logb(m)

(5) False

It is right if ln replase by log

(6) False

Answer