Are all logarithmic functions non odd and non even

Are all logarithmic functions non odd and non even

All logarithmic functions are nonsingular and noneven

Log function monotonicity judgment process!
It is known that the function f (x) = log (A & sup2; - 1) (2x + 1) has f (x) > 0 on the interval (- 1 / 2,0),
Judge the monotonicity of F (x) on the interval (- 1 / 2,0)
Need to prove the process!

Because x belongs to (- 1 / 2,0)
So 0

How to judge the monotonicity of logarithmic function
Is there a simpler way, such as looking at the size relationship between the base number and the true number

Let x1, X2, X1 < x2 in the interval, and substitute f (x)
Compare the values of F (x1) and f (x2)
If f (x 1) > F (x 2), it is a decreasing function; otherwise, it is an increasing function
Pay attention to the interval
Yes, combined with the image of index and true number
After memorizing it, you can judge its monotony. There should be a detailed explanation in your teaching materials