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.
