can u help me with math plz?

Question

1. solve x^(1/2) -6= -x^(1/4)

the answer is 16

2. find log3 (81)=?
logpie (1/pie cubed)
log1000 (10)

answers are 4 ,-3, 1/3

3. simplify completely

(x-6)/(x^2-4) - (x-1)/(2-x) - (x+1)/(x+2)

the answer is 3/(x+2)

Thanks for all help. God bless all and have a happy holidays!

Answer 1

x^1/4 = z
so z^2+z-6=0 z=((-1+-5)/2
z= -3 and z= 2 z must be >0 so x= 16=2^4
2)log 3 81 = 4 because 3^4=81
log pie (1/pie^3 ) -logpie (pie)^3 =-3log pie ( pie )=-3
1000^1/3 =10
(x-6)+(x-1)(x+2)-(x+1)(x-2)/(x^2-4)=3(x-2)/(x+2(x-2) = 3/(x+2)