How do exponents and logarithms compare For example, the 0.3 power of 2 and log (3) (2)

How do exponents and logarithms compare For example, the 0.3 power of 2 and log (3) (2)


In this case, because 2 > 1 and 0.3 > 0, so 2 ^ 0.3 > 1, and because 3 > 1,2



Logarithm, exponential ratio, size
(0.2)^2 ,2^(0.2) log2(0.2)
How to compare the first two? Log2 (0.2) 1 2 ^ (0.2) > 1
Wrong.. it should be (0.2) ^ 2 > 0.2 ^ (0.2) > 1


log2(0.2)



Several methods of comparing the size of exponential, logarithmic and power functions


Abstract: This paper puts forward a general method to judge the size of exponential function, logarithmic function and power function in elementary function, and puts forward several methods to compare the size of exponential function, true number and base number