Calc: Does ln(x)^2 = ln(x^2) = 2[ln(x)]?
I know ln(x^2) = 2[ln(x)] but does ln(x)^2 = 2[ln(x)] or is that only when the power effects only x rather then the entire natural log?
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I know ln(x^2) = 2[ln(x)] but does ln(x)^2 = 2[ln(x)] or is that only when the power effects only x rather then the entire natural log?
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Verified answer
No.
What if x = e?
ln(e^2) = 2
(ln(e))^2 = 1^2 = 1
No
Ln(x) ^2 = Ln(x) Ln(x)