Maximizing Efficiency: Simplifying ln(x^r) Using Logarithmic Laws

ln (x^r) =

To solve the equation ln(x^r), we can apply the laws of logarithms

To solve the equation ln(x^r), we can apply the laws of logarithms.

The logarithm of a power can be rewritten using the property: ln(a^b) = b * ln(a).

In this case, we have ln(x^r). So using the property mentioned earlier, we can rewrite this expression as r * ln(x).

Therefore, ln(x^r) = r * ln(x).

More Answers:

How to Find the Derivative of ln x: Step-by-Step Explanation and Formula
How to Find the Derivative of b^x: A Guide to Logarithmic Differentiation
Concise Derivative of Logarithm Function with Base b: Chain Rule and Change of Base Formula

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