query: $\log^2x$ = $(\log x)^2$ or $\log\log x$
positive_passages.docid: 22486
positive_passages.text: What does $\log^{2}{x}$ mean?
negative_passages.docid: 41534
negative_passages.text: A system of logarithmic equations with parameters
negative_passages.docid: 39747
negative_passages.text: Showing that $\lim_{x\to 0} x\log{x}= 0$ without using L'Hopital's rule
negative_passages.docid: 140260
negative_passages.text: Is $\int \frac{1}{2x} \, dx $ equal to $\frac{\ln|2x|}{2}+ C$ or $\frac{\ln|x|}{2}+ C$
negative_passages.docid: 102777
negative_passages.text: Is $G^{(X, Y)} = (G^X)^Y?$ ($A^B$ just means that $B$ is mapped to $A$)
negative_passages.docid: 79466
negative_passages.text: Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
negative_passages.docid: 15110
negative_passages.text: About irrational logarithms
negative_passages.docid: 114195
negative_passages.text: Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
negative_passages.docid: 118324
negative_passages.text: Other challenging logarithmic integral $\int_0^1 \frac{\log^2(x)\log(1-x)\log(1+x)}{x}dx$
negative_passages.docid: 130094
negative_passages.text: Which is more preferable to write $\log(x)$ or $\ln(x)$
negative_passages.docid: 71586
negative_passages.text: Compare $\log_34$ and $2^\frac 1 4$
negative_passages.docid: 91306
negative_passages.text: Integration of $\frac{1}{\log(x)}$
negative_passages.docid: 117262
negative_passages.text: Proving a logarithm inequality
negative_passages.docid: 27898
negative_passages.text: Difference between $\sqrt{x^2}$ and $(\sqrt{x})^2$
negative_passages.docid: 137609
negative_passages.text: Proving $\lim_{n\rightarrow\infty} n(2^{1/n} - 1) = \log 2$
negative_passages.docid: 21151
negative_passages.text: $\log(n)$ is what power of $n$?
negative_passages.docid: 115598
negative_passages.text: Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$