qustion(1)x^x=100, find x

Question

question(2):2x+2y<4,3x+4y>6 find the value of x&y that satisfy the inequalities
qustion(3):x^x=100^x find x

Answer 1

(1) no algebraic way to do it. Check the graph

(2)
2x+2y < 4
3x+4y > 6
Just plot the lines and shade the areas that intersect

(3)
clearly x=100

Answer 2

3. X^x = 100^x.
x*Logx = x*Log100
Divide both sides by x:
Log X = Log100 = 2.
10^2 = X.
X = 100.