Semilog graph

Example of semilog graph y = 10 x {\ displaystyle y = 10 ^ {x}}! [{\ \ displaystyle y = 10 ^ {x}}] (https://wikimedia.org/api/rest_v1/media/math/render/svg/c203d0d9c7d43534b9747f07be8c31ae4c9ada34) (red line) is in a straight line, the logarithmic scale on the y axis Notice how to take the numerical value of

Semi logarithmic graph(Katasumusu gurufu, semilog graph) Is a graph in which one axis of a is a graduation (the vertical is often a logarithmic scale). Extremely wide range of data can be handled. The axis of the ordinary scale is made to the narrow range data, and the axis of the logarithmic scale is made for extremely wide range data.

table of contents

Exponential

y = a b x + c {\ displaystyle y = a ^ {bx + c}}! [{\ \ displaystyle y = a ^ {bx + c}}] (https://wikimedia.org/api/rest_v1/media/math/render/svg/fa04cf6938a859a408029a22275f49b505318fe8) (A {\ displaystyle a} ! [a] (https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc) Is a positive constant, b, c {\ displaystyle b, c}! [{\ \ Displaystyle b, c}] (https://wikimedia.org/api/rest_v1/media/math/render/svg/13a3dedbae67e261b39c755dc355b1407b3b19db) Is a constant), we take log a y = b x log a a + c log a {\ displaystyle \ log y = bx \ log a \ + c \ log a}! [{\ \ displaystyle \ log y = bx \ log a \ + c \ log a}] (https://wikimedia.org/api/rest_v1/media/math/render/svg/eaa3bf7f329f9f03680ffea9271c8a757dbc3dd6) . Therefore, if the horizontal axis is normal scale and the vertical axis is logarithmic scale, the graph (inclination b log a {\ displaystyle b \ log a} ! [{\ \ displaystyle b \ log a}] (https://wikimedia.org/api/rest_v1/media/math/render/svg/a50b20b9784e3620118665f5f88039fd93489fa8) , y-intercept c log a a {\ displaystyle c \ log a}! [{\ \ displaystyle c \ log a}] (https://wikimedia.org/api/rest_v1/media/math/render/svg/83f214fe15d92ede04c18a302c215ee3450f79a8) Of).

Application example

Similarly, it is effective to determine the value of the multiplier. Then is required.

References

1. *David Carr Baird, Yukihiro Kato, Michiyuki Chikawa, Yasushi Kondo "Introduction to Experimental Law" Pearson Education (December 2004) 2. Department of Physics Department of Physics Department Part 2 "Physics Experiment Introduction" Uchida Old cranes (April 2008) 3. *Natural Science Comprehensive Experiment 4. Basic science experiment A

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Post Date : 2018-02-27 07:00

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