query: Why, if the natural logarithm is an increasing function, then we can use it for finding the same maximum of $L(p)$?
positive_passages.docid: 152782
positive_passages.text: Why does finding the $x$ that maximizes $\ln(f(x))$ is the same as finding the $x$ that maximizes $f(x)$?
negative_passages.docid: 117751
negative_passages.text: An integral of a rational function of logarithm and nonlinear arguments
negative_passages.docid: 129088
negative_passages.text: Is "ln" (natural log) and "log" the same thing if used in this answer?
negative_passages.docid: 125080
negative_passages.text: Why is uniform prior on log(x) equal to 1/x prior on x?
negative_passages.docid: 79301
negative_passages.text: Could a constant function be considered increasing?
negative_passages.docid: 98439
negative_passages.text: In statistics, should I assume $\log$ to mean $\log_{10}$ or the natural logarithm $\ln$?
negative_passages.docid: 144633
negative_passages.text: Verification of proof involving logarithms and limits
negative_passages.docid: 21151
negative_passages.text: $\log(n)$ is what power of $n$?
negative_passages.docid: 73553
negative_passages.text: How is $a_n=(1+1/n)^n$ monotonically increasing and bounded by $3$?
negative_passages.docid: 151226
negative_passages.text: Why is the sequence $x(n) = \log n$ **not** Cauchy?
negative_passages.docid: 127290
negative_passages.text: Intuition behind logarithm change of base
negative_passages.docid: 158730
negative_passages.text: Is $\ln(\ln(n))$ irrational for any integer $n>1$?
negative_passages.docid: 59987
negative_passages.text: Power rule for Logarithms
negative_passages.docid: 28520
negative_passages.text: Exponential or logarithm of a dimensionful quantity?
negative_passages.docid: 3414
negative_passages.text: Value of Summation of $\log(n)$
negative_passages.docid: 121694
negative_passages.text: How to prove $\log n \leq \sqrt n$ over natural numbers?
negative_passages.docid: 15821
negative_passages.text: $\ln(x^2)$ vs $2\ln x$