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  2. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Loglog_plot

    A loglog plot of y = x (blue), y = x 2 (green), and y = x 3 (red). Note the logarithmic scale markings on each of the axes, and that the log x and log y axes (where the logarithms are 0) are where x and y themselves are 1. Comparison of linear, concave, and convex functions when plotted using a linear scale (left) or a log scale (right).

  3. Semi-log plot - Wikipedia

    en.wikipedia.org/wiki/Semi-log_plot

    The log–linear type of a semi-log graph, defined by a logarithmic scale on the y-axis (vertical), and a linear scale on the x-axis (horizontal). Plotted lines are: y = 10 x (red), y = x (green), y = log(x) (blue). The linear–log type of a semi-log graph, defined by a logarithmic scale on the x axis, and a linear scale on

  4. Logarithmic scale - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_scale

    Plotted graphs are: y = 10 x (red), y = x (green), y = log e (x) (blue). The top left graph is linear in the X- and Y-axes, and the Y-axis ranges from 0 to 10. 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 ...

  5. Prime-counting function - Wikipedia

    en.wikipedia.org/wiki/Prime-counting_function

    Graph showing ratio of the prime-counting function π(x) to two of its approximations, ⁠ x / log x ⁠ and Li(x). As x increases (note x-axis is logarithmic), both ratios tend towards 1. The ratio for ⁠ x / log x ⁠ converges from above very slowly, while the ratio for Li(x) converges more quickly from below.

  6. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d. Derivations also use the log definitions x = b log b (x ...

  7. Common logarithm - Wikipedia

    en.wikipedia.org/wiki/Common_logarithm

    A graph of the common logarithm of numbers from 0.1 to 100. In mathematics, the common logarithm (aka "standard logarithm") is the logarithm with base 10. [1] It is also known as the decadic logarithm, the decimal logarithm and the Briggsian logarithm.

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  9. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    Here M(x, y) denotes the arithmetic–geometric mean of x and y. It is obtained by repeatedly calculating the average (x + y)/2 (arithmetic mean) and (geometric mean) of x and y then let those two numbers become the next x and y. The two numbers quickly converge to a common limit which is the value of M(x, y). m is chosen such that