# Logarithmic differentiation

1. Apr 21, 2008

### banfill_89

1. The problem statement, all variables and given/known data
if g(t)=(10^t)(log....t) then evaluate g'(10)
........................10 <---------(my attempt at a log base 10)

2. Relevant equations

im completely lost...i dont know if i should take the ln of both sides...or what to do really.

3. The attempt at a solution

2. Apr 22, 2008

### rocomath

$$g(t)=10^t\log t$$

Naw don't take log of both sides, just differentiate from the get go :)

$$\frac{d}{dx}a^x=a^x\log a$$

Don't forget the Product rule.

Last edited: Apr 22, 2008