1. ## Log derivatives

How do you find derivative of this equation. If possible could you write out the steps to get to the answer.

equation:g(t)=(10log4 t)/t

I know the answer is: (5/ln2t²)(1-ln(t))

Also does any know a good program to use to be able to put all of this stuff into a better mathematical looking equation?

2. $\frac{10 \log_4 t}{t}$

$\frac{10 \frac{1}{2}\log_2 t}{t}$

$\frac{5\log_2 t}{t}$

$\frac{5\frac{\ln t}{\ln 2}}{t}$

$\frac{5\ln t}{\ln 2\cdot t}$

$\frac{5}{\ln 2}\cdot \frac{\ln t}{t}$

Now you can differentiate $\frac{\ln t}{t}$ and multiply it with the constant $\frac{5}{\ln 2}$.

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