Intermediate algebra problem help

Intermediate algebra problem help?
I have been working on some homework questions for my college intermediate algebra class and am having troubles with some of the problems. Anyone who can help, I would be greatly appreciative! These homework problems are for our own sake, and are not to turn in so I am not asking you to do my homework, I am asking you to help me so I can understand a little better before our next quiz. Thanks ahead of time!

SOLVE-

1) 2^X=16
X=

2) Log2 4=Y Change to exponential form.

3) Log (4x)= use log rules

4) log10(N-3)=2

5) 3X-5Y=2
2X+5Y=13

SIMPLIFY-

6) 36^1/2

FACTOR-

7) 6N^2-24

8) 3X^2+5X-2

1.) 2ⁿ = 16
n·log(2) = log(16)
n·log(2) = 4·log(2)
n = 4·log(2)/log(2)
n = 4
Solution: n = 4

2.) log2(4) = y
y = log(4)/log(2)
y = 2
Solution: y = 2

3.) log(4x) = ?
log(m·x) = log(m)+log(x)
Solution: log(4x) = log(4)+log(x)

4.) log10(n-3) = 2
n-3 = 10²
n-3 = 100
n = 103
Solution: n = 103

5.) 3x-5y = 2
2x+5y = 13
+__________
5x+0y = 15
5x = 15
x = 3
2(3)+5y = 13
6+5y = 13
5y = 7
y = 7/5
Solutions: x = 3, y = 7/5; (3,7/5)

6.) 36^(1/2)
→ √(36)
→ ±6
Solution: 36^(1/2) = ±6

7.) 6n²-24 → 6(n-2)(n+2)
Solution: 6(n-2)(n+2)

8.) 3x²+5x-2 → (x+2)(3x-1)
Solution: (x+2)(3x-1)

7.) 6(n^2-4)
6(n-2)(n+2)
8.)(3x-1)(x+2)