How do exponents and logarithms translate?

How do exponents and logarithms translate?


(2) In order to find the monotone interval of function y = AF (x), we should first find out the monotone interval of F (x), and then find out the monotone interval of function y = AF (x) according to the monotonicity of y = Au. In order to find out the monotone interval of function y = logaf (x), we should first find out the monotone interval of F (x), and then find out the monotone interval of function y = Lo according to the monotonicity of y = logau



Exponential formula and logarithmic formula can transform each other
This is wrong. Why is there no value range for the base of exponential formula? Can you give an example


Exponential and logarithmic expressions may not be able to transform each other
The premise of transformation is that the base of index is greater than 0 and not equal to 1
For example (- 2) ^ 3 = - 8 can't be converted to logarithm



How to calculate and compare the logarithm of mathematical index