Write `log2 + log4 + log8 + log16 + … + log128`  in the form  `a logb`  where `a` and `b` are integers greater than 1.  (2 marks)

Let  `a = e^x`

Which expression is equal to  `log_e(a^2)`?

1. `e^(2x)`
2. `e^(x^2)`
3. `2x`
4. `x^2`
5. `e^2`

The function  `f` has rule  `f(x) = 3 log_e (2x).`

If  `f(5x) = log_e (y)`  then `y` is equal to

1. `30x`
2. `6x`
3. `125x^3`
4. `50x^3`
5. `1000x^3`