Simplifying ln(x^r) using logarithm properties | r * ln(x)

ln (x^r) =

To simplify the expression ln(x^r), we can use a logarithm property which states that ln(a^b) = b * ln(a)

To simplify the expression ln(x^r), we can use a logarithm property which states that ln(a^b) = b * ln(a).

Applying this property to our expression, we have:

ln(x^r) = r * ln(x)

Therefore, ln(x^r) is equivalent to r times the natural logarithm of x.

More Answers:
Understanding the Derivative of ln x | A Step-by-Step Guide with the Chain Rule
Finding the Derivative of b^x | A Guide to Logarithmic Differentiation
How to Find the Derivative of the Logarithm Function with Respect to x | Step-by-Step Guide

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