ln (x^r) =
r ln x
r ln(x)
This is because ln stands for the natural logarithm, which is the logarithm with base e. For any positive base b and exponent r, we can write:
b^r = e^(ln(b^r))
Using the rules of logarithms, we can simplify:
b^r = e^(r ln(b))
Taking the natural logarithm of both sides gives us:
ln(b^r) = r ln(b)
So, for ln(x^r), we can let b = x and get:
ln(x^r) = r ln(x)
More Answers:
How To Find The Instantaneous Rate Of Change Of A Function Using Derivatives – A Step-By-Step GuideThe Derivative: How Calculus Measures Instantaneous Rate Of Change
Average Rate Of Change In Mathematics: A Comprehensive Guide
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded