Question

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Answer 1

\(\log_{2}(5x) = \dfrac{\ln(5x)}{\ln(2)}\)

Answer 2

That's fine. I used the Change of Base logarithm formula. I haven't presented a derivative. That is for you to demonstrate.

Answer 3

The derivative rules you learned for logs probably only pertained to logs of base e. tkhunny has provided a way for you to convert from log base 2, to log base e

Answer 4

Do that, then try diffrentiating