# How do you simplify this derivative of a logarithm?

• January 17th 2012, 09:11 AM
TheArtist
How do you simplify this derivative of a logarithm?
1/x (logx) + lnx(1/xln10) simplifies to 2lnx/xln10. How does this happen? Can someone please give me a full explanation? Thanks!
• January 17th 2012, 09:28 AM
princeps
Re: How do you simplify this derivative of a logarithm?
Quote:

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 : $\log x=\frac{\ln x}{\ln 10}$
• January 17th 2012, 09:35 AM
TheArtist
Re: How do you simplify this derivative of a logarithm?
Awesome, I see it now. Thank you :D