Algebra Discussion - What is the Domain of the following

Algebra

Discussion Topic

What is the Domain of the following logarithmic functions?

1) f(x) = log(3x - 21)

2) f(x) = log(2x + 16)

3) f(x) = log2 (x - 2)

Perform the operations:

4) log2 4 + log4 2 =

5) log 1000 + ln e5 =

6) log1/2 8 = 

Solve the equations:

7) x2 = log 100 + 119

8) Solve the equation log 4 + log x = log 28 

9) Solve the equation log (x + 3) + log x = log 28 

On all the exercises show your work step-by-step. No work- No credit.