ln (x^r) =
r ln x
r*ln(x)
Explanation:
The natural logarithm of a power of x (x^r) is equal to the product of the exponent (r) and the natural logarithm of the base (ln(x)). This can be written mathematically as:
ln(x^r) = r*ln(x)
For example, if x = 2 and r = 3, then:
ln(2^3) = ln(8) ≈ 2.0794
And
3*ln(2) ≈ 2.0794
The two expressions are equivalent, showing that the formula holds true.
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