# Logarithmic differentiation

## Homework Statement

if g(t)=(10^t)(log....t) then evaluate g'(10)
........................10 <---------(my attempt at a log base 10)

## Homework Equations

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

## The Attempt at a Solution

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

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.

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