ln(xy)
The expression ln(xy) represents the natural logarithm of the product of x and y
The expression ln(xy) represents the natural logarithm of the product of x and y. To better understand this expression, let’s break it down.
The natural logarithm, ln, is a mathematical function that is the inverse of the exponential function with a base of e (Euler’s number). It is denoted by ln(x) or loge(x).
In the expression ln(xy), the variables x and y represent numbers or expressions that we want to evaluate the natural logarithm of their product. The product of x and y is represented by xy.
To simplify ln(xy), we can use the properties of logarithms. One property states that the logarithm of a product is equal to the sum of the logarithms of the factors. In mathematical notation, it can be written as:
ln(xy) = ln(x) + ln(y)
So, to simplify ln(xy), you can write it as ln(x) + ln(y).
For example, if x = 2 and y = 3, then ln(xy) becomes ln(2*3). Using the property mentioned above, we can simplify it as ln(2) + ln(3).
Please note that ln(xy) does not necessarily equal ln(x) * ln(y), as that would be incorrect. It is ln(x) + ln(y) that corresponds to the logarithm of the product.
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