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2. Log–log plot - Wikipedia

   en.wikipedia.org/wiki/Log–log_plot

   In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form y = a x k {\displaystyle y=ax^{k}} – appear as straight lines in a log–log graph, with the exponent corresponding to ...

3. Logarithmic scale - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_scale

   A base-10 log scale is used for the Y-axis of the bottom left graph, and the Y-axis ranges from 0.1 to 1000. The top right graph uses a log-10 scale for just the X-axis, and the bottom right graph uses a log-10 scale for both the X axis and the Y-axis. Presentation of data on a logarithmic scale can be helpful when the data:

4. Logarithm - Wikipedia

   en.wikipedia.org/wiki/Logarithm

   In mathematics, the logarithm to base b is the inverse function of exponentiation with base b. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10 3, the logarithm base of 1000 is 3, or log 10 (1000) = 3.

5. Logit - Wikipedia

   en.wikipedia.org/wiki/Logit

   If p is a probability, then p/(1 − p) is the corresponding odds; the logit of the probability is the logarithm of the odds, i.e.: ⁡ = ⁡ = ⁡ ⁡ = ⁡ = ⁡ (). The base of the logarithm function used is of little importance in the present article, as long as it is greater than 1, but the natural logarithm with base e is the one most often used.

6. Natural logarithm - Wikipedia

   en.wikipedia.org/wiki/Natural_logarithm

   The natural logarithm of a positive, real number a may be defined as the area under the graph of the hyperbola with equation y = 1/x between x = 1 and x = a. This is the integral [4] ⁡ =. If a is in (,), then the region has negative area, and the logarithm is negative.

7. Semi-log plot - Wikipedia

   en.wikipedia.org/wiki/Semi-log_plot

   The linear–log type of a semi-log graph, defined by a logarithmic scale on the x axis, and a linear scale on the y axis. Plotted lines are: y = 10 x (red), y = x (green), y = log(x) (blue). In science and engineering, a semi-log plot/graph or semi-logarithmic plot/graph has one axis on a logarithmic scale, the other on a linear scale.

8. Log-polar coordinates - Wikipedia

   en.wikipedia.org/wiki/Log-polar_coordinates

   Log-polar coordinates in the plane consist of a pair of real numbers (ρ,θ), where ρ is the logarithm of the distance between a given point and the origin and θ is the angle between a line of reference (the x-axis) and the line through the origin and the point.

9. Logarithmically concave function - Wikipedia

   en.wikipedia.org/wiki/Logarithmically_concave...

   Every concave function that is nonnegative on its domain is log-concave. However, the reverse does not necessarily hold. An example is the Gaussian function f ( x ) = exp(− x 2 /2) which is log-concave since log f ( x ) = − x 2 /2 is a concave function of x .