No. It is an increasing function, with a domain of x > 0.
An example of a periodic function is y = sin x. It repeats with every period and keeps crossing, back and forth, over the x-axis.
y = log x doesn't behave that way. It just keeps increasing, without limit, as x increases.
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Yes, the tangent function is periodic.
The frequency of a periodic function is 1/Period
Yes, the sine function is a periodic function. It has a period of 2 pi radians or 360 degrees.
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
log (3 x 66) = log 3 + log 66