Question 37295

log (x^3y/z^2) = 3log(x)+log(y)-2log(z)

Explanation

The logarithm of the product of two number is equal to the sum of the logarithm of each number.
log(xy)=log(x)+log(y)

The logarithm of the division of two numbers is equal to the substraction of the logarithm of each number.
log(x/y)=log(x)-log(y)  

Remember that the base does not change. You may use this properties to solve any problem like the above.