Question

Find the value of the logarithmic expression shown below if

ln(x) = 2, ln(y) = 3, and ln(z) = 4.
ln(x²/yz³) = ?
A. -2
B. -1
C. 0
D. 1

Answer 1

The value of ln(x²/yz³) is -11.

Step-by-step explanation:

To find the value of ln(x²/yz³), we can use the properties of logarithms.

The logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. Thus, ln(x²/yz³) can be written as ln(x²) - ln(yz³).

Using the given values, ln(x) = 2, ln(y) = 3, and ln(z) = 4, we have ln(x²/yz³) = 2² - (3 + 4·3) = 4 - (3 + 12) = -11.