How do you simplify this derivative of a logarithm?

**TheArtist** · January 17th 2012, 08:11 AM

1/x (logx) + lnx(1/xln10) simplifies to 2lnx/xln10. How does this happen? Can someone please give me a full explanation? Thanks!

**princeps** · January 17th 2012, 08:28 AM

Originally Posted by TheArtist

1/x (logx) + lnx(1/xln10) simplifies to 2lnx/xln10. How does this happen? Can someone please give me a full explanation? Thanks!

Hint : $\log x=\frac{\ln x}{\ln 10}$

**TheArtist** · January 17th 2012, 08:35 AM

Awesome, I see it now. Thank you

Thread: How do you simplify this derivative of a logarithm?