Simplifying Ln(X*Y) Using The Properties Of Logarithms

lnxy

lnx + lny

lnxy represents the natural logarithm of ‘x’ multiplied by ‘y’, written as ln(x*y). The natural logarithm function is the inverse function of the exponential function, and it is defined as the logarithm to the base of the mathematical constant ‘e’, which is approximately 2.7182.

When evaluating ln(x*y), you can use the properties of logarithms to simplify the expression. One of the main properties of logarithms is that the logarithm of a product is equal to the sum of the logarithms of the individual factors.

Therefore, ln(x*y) can be rewritten as ln(x) + ln(y). This means that you can find the natural logarithm of ‘x’ and the natural logarithm of ‘y’ separately, and then add them together to find the natural logarithm of their product.

For example, if x = 2 and y = 5, then ln(x*y) = ln(2*5) = ln(10). Using the property of logarithms, ln(10) would be equal to ln(2) + ln(5).

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