query: Properties of logs. Why does the log of a power, does the exponent become a coefficient?
positive_passages.docid: 22687
positive_passages.text: Proof of the power rule for logarithms
negative_passages.docid: 36437
negative_passages.text: How to show that $\log (\frac{2a}{1-a^2}+\frac{2b}{1-b^2}+\frac{2c}{1-c^2})= \log\frac{2a}{1-a^2}+ \log \frac{2b}{1-b^2}+ \log \frac{2c}{1-c^2}$
negative_passages.docid: 76547
negative_passages.text: Why are addition and multiplication commutative, but not exponentiation?
negative_passages.docid: 151226
negative_passages.text: Why is the sequence $x(n) = \log n$ **not** Cauchy?
negative_passages.docid: 41534
negative_passages.text: A system of logarithmic equations with parameters
negative_passages.docid: 128157
negative_passages.text: Textbook clarification: $\log = \ln$
negative_passages.docid: 46556
negative_passages.text: How to prove $3^{\log_4n} = n^{\log_43}$?
negative_passages.docid: 59987
negative_passages.text: Power rule for Logarithms
negative_passages.docid: 3101
negative_passages.text: Meaning of a set in the exponent
negative_passages.docid: 102138
negative_passages.text: Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
negative_passages.docid: 118368
negative_passages.text: number of real solution of logarithmic and exponential equation
negative_passages.docid: 146873
negative_passages.text: Why is $\log(e^z)\ne z$ in complex analysis?
negative_passages.docid: 20056
negative_passages.text: What algorithm is used by computers to calculate logarithms?
negative_passages.docid: 108007
negative_passages.text: Can anybody help me with this logarithm problem?
negative_passages.docid: 8061
negative_passages.text: Why must the base of a logarithm be a positive real number not equal to 1?
negative_passages.docid: 52154
negative_passages.text: Log-like operator with math inside (e.g. p-lim)
negative_passages.docid: 74596
negative_passages.text: Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?