MATLAB loglog()

It generates a plot of the vectors x and y, using a logarithmic scale for both x and y-axis.

Syntax

loglog(Y)// It should plot the columns of Y versus their index if Y includes real numbers. If Y includes complex numbers, loglog(Y) and loglog(real(Y),imag(Y)) are equivalent. 
loglog(X1,Y1,...)// It plots all Yn versus Xn pairs.
loglog(X1,Y1,LineSpec,...)// It plots all the lines described by the Xn,Yn,LineSpec triples, where LineSpec determine line type, marker symbol, and color of the plotted lines. 
loglog(...,'PropertyName',PropertyValue,...)// It sets line property values for all the charting lines created.
loglog(ax,...)// It generates the line in the axes specified by ax instead of in the current axes (gca). The option ax precedes any of the input argument combinations in the previous syntaxes.
h = loglog(...)// It returns a column vector of chart line objects.

Example

Create a plot using logarithmic scales for both the x-axis and the y-axis.

x=e^t,y=100+e^2t,0≤t≤2π
t=linspace(0, 2*pi,200);
x=exp(t)
y=100+exp(2*t);
loglog(x, y), grid

Output:

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