Given the function f (x) = ㏒ 1 / 2 [(1 / 2) ^ X-1], it is proved that the function f (x) increases monotonically in the domain of definition

Given the function f (x) = ㏒ 1 / 2 [(1 / 2) ^ X-1], it is proved that the function f (x) increases monotonically in the domain of definition

Let u = (1 / 2) ^ X-1, y = ㏒ 1 / 2 (U)
Because the base number is 1 / 2

[(m+n)^2-4mn][(m-n)^2+4mn]+2(mn)^2

At the same time, we were able to get the results of (m \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\35;178; = (M & #178; - N & #178;) ² + 2m & #178; n &

Given m + n = 3, Mn = 2 / 3, how to write m ^ 3N-M ^ 2n ^ 2 + nm ^ 3

m+n=3
square
m²+2mn+n²=9
m²+n²
=9-2mn
=9-4/3
=23/3
So the original formula = Mn (M & # 178; + n & # 178;) + (MN) &# 178;
=46/9+4/9
=50/9

Given m + n = 3, Mn = 23, find the value of M 3N-M 2n 2 + Mn 3

When m + n = 3 and Mn = 23, the original formula is 23 (32 − 3 × 23) = 423