How can I write each expression as a logarithm of a single quantity?

Question

I have two problems and I can't figure them out, I can't figure it out w/ my math book and my teacher is really mean and never answers the questions I ask.

This is the directions: Write each expression as a logarithm of a single quantity.

1.) 1/2Log (a+2) + Log b - 2 Log c

2.) 3 Log (a+1) - 2 Log (b+2) + 7 Log c

Answer 1

Question 1
log (a + 2)^(1/2) + log b + log c^(-2)
log [ (a + 2)^(1/2) b / c ² ]

Question 2
log (a + 1)³ + log (b + 2)^(-2) + log c^7
log [ (a + 1)³ c^7 / (b + 2) ² ]

Answer 2

log rules
log a*b = log a + log b
log a/b = log a - log b

this should help