pre calc review ?sss please please help me!! :(?

Here are some questions I really need help on. Please answer as best you can, but you don't have to answer all of it. one or two is fine too. Thanks so much, I really appreciate it :)

1) Simplify: ((cos^3)x-(sin^3)x) / (sinx - cosx)

2) Simplify: cos (x+("pi"/3)) + sin (x-("pi"/6)) hint: use sum/diff formulas

3) find the solution (x): 5^(-x) = 3

4) Find x: natural log ~ e^(4x) + 2e^(2x) - 8 = 0

5) Solve for x: ln(x-1) + ln(x+2) = 1


it's ok if you just give the answers. i could try and figure out the steps on my own.
thank you so much!! :))
 
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