semi log paper is used for which of the following
Answers
Answer:
The log-linear type of a semi-log graph, defined by a logarithmic scale on the y-axis, and a linear scale on the x-axis. Plotted lines are: y = 10x (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 the y axis. Plotted lines are: y = 10x (red), y = x (green), y = log(x) (blue).
All equations of the form {\displaystyle y=\lambda a^{\gamma x}}y=\lambda a^{{\gamma x}} form straight lines when plotted semi-logarithmically, since taking logs of both sides gives
{\displaystyle \log _{a}y=\gamma x+\log _{a}\lambda .}\log _{a}y=\gamma x+\log _{a}\lambda .
This is a line with slope {\displaystyle \gamma }\gamma and {\displaystyle \log _{a}\lambda }\log _{a}\lambda vertical intercept. The logarithmic scale is usually labeled in base 10; occasionally in base 2:
{\displaystyle \log(y)=(\gamma \log(a))x+\log(\lambda ).}\log(y)=(\gamma \log(a))x+\log(\lambda ).
A log-linear (sometimes log-lin) plot has the logarithmic scale on the y-axis, and a linear scale on the x-axis; a linear-log (sometimes lin-log) is the opposite. The naming is output-input (y-x), the opposite order from (x, y).
On a semi-log plot the spacing of the scale on the y-axis (or x-axis) is proportional to the logarithm of the number, not the number itself. It is equivalent to converting the y values (or x values) to their log, and plotting the data on linear scales. A log-log plot uses the logarithmic scale for both axes, and hence is not a semi-log plot.
Explanation:
In science and engineering, a semi-log plot, or semi-log graph (or semi-logarithmic plot/graph), has one axis on a logarithmic scale, the other on a linear scale. It is useful for data with exponential relationships, or where one variable covers a large range of values.