Question

How do I integrate 5^x/ln5

Answer 1

\[\int b^xdx=\frac{b^x}{ln(b)}\]

Answer 2

That helps me with the top part what do I do with the ln5 in the denominator?
Do I have to do u-sub?

Answer 3

Never mind I get it you place ln5 outside

Answer 4

Also it might help to look at this like this:

\[5 = e^{\ln 5}\]
\[5^x = e^{x\ln 5}\]

So really when you take the derivative, that's why you get that extra \(\ln 5\) term.