Ln x y 1 2 ln x y ln x y 1 2 ln x y Now we will take care of the product. Therefore 3 is the logarithm of 8 to base 2 or 3 log 2 8. In the same fashion since 10 2 100 then 2 log 10 100.
The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y.
The logarithm of number b on the base a log a b is defined as an exponent in which it is necessary raise number a to gain number b The logarithm exists only at positive numbers. Therefore 3 is the logarithm of 8 to base 2 or 3 log 2 8. Log a mn log a mlog a n 5. Y log a x ay x ax 0a 6 1 2.