Domain of the following logarithmic functions

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) Solve the equation:

6) x2 = log 100 + 90

7) Propose an equation similar to log 4 + log x = log 27 whose solution is 9

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