Integration Logs

**qbkr21** · September 18th 2007, 02:15 PM

Thanks!!

**Krizalid** · September 18th 2007, 02:18 PM

Use the change of base property and make a simple substitution.

**qbkr21** · September 18th 2007, 02:21 PM

Thanks but

**Krizalid** · September 18th 2007, 02:24 PM

Nope, I mean you use $\log_{10}x=\frac{\ln x}{\ln10}$

The denominator is a constant and you only have to integrate $\frac{\ln x}x$

**qbkr21** · September 18th 2007, 02:35 PM

If there is a third row of division, could I bring it up to the second?

**Krizalid** · September 18th 2007, 02:39 PM

You mean for example $\frac{\dfrac ab}c$ ?

It's the same if we write $\frac ab:c$ , then you make a cross product.

**qbkr21** · September 18th 2007, 02:42 PM

Re:

**Krizalid** · September 18th 2007, 02:46 PM

If we have

$x=\frac{\dfrac ab}c=\frac a{bc}$

but be careful, if we have

$x=\frac a{\dfrac bc}=\frac{ac}b$

It depends.

Thread: Integration Logs