Understanding ln (x/y) and its Evaluation | The Quotient’s Natural Logarithm Explained

ln (x/y)

The expression ln (x/y) represents the natural logarithm of the quotient of x and y

The expression ln (x/y) represents the natural logarithm of the quotient of x and y.

The natural logarithm, denoted as ln, is the logarithm with base e, where e is the mathematical constant approximately equal to 2.71828. It is the inverse function of the exponential function e^x.

To evaluate ln (x/y), we need to divide x by y first, and then take the natural logarithm of the quotient. Let’s break down the steps:

Step 1: Divide x by y
Divide x by y to obtain the quotient z: z = x/y

Step 2: Take the natural logarithm
Take the natural logarithm of the quotient z: ln(z)

So, ln (x/y) can be expressed as ln(x/y) = ln(z).

It is important to note that the value of ln (x/y) will depend on the actual values of x and y. Additionally, if x or y is negative or equals to zero, then ln (x/y) may lead to an undefined result.

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