amurciano2
  • amurciano2
How do I integrate 5^x/ln5
AP Math
katieb
  • katieb
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misty1212
  • misty1212
\[\int b^xdx=\frac{b^x}{ln(b)}\]
amurciano2
  • amurciano2
That helps me with the top part what do I do with the ln5 in the denominator? Do I have to do u-sub?
amurciano2
  • amurciano2
Never mind I get it you place ln5 outside

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Empty
  • Empty
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.

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