How do you take the derivative of
R(w)=3^wlog(w)?

Also can you tell me how you can have just log(w) and not a log with a base?

Question

How do you take the derivative of 
R(w)=3^wlog(w)?

Also can you tell me how you can have just log(w) and not a log with a base?

anonymous · Answer

$$\log_{10} w=\log_{}w $$ base is 10
$$R^'(x)=3^x \log(x) \log (x) +\frac{ 1 }{ x }3^x$$

jotopia34 · Answer

so if there is no base written, 10 is assumed?

anonymous · Answer

yes

jotopia34 · Answer

thx!!

amistre64 · Answer

if there is no written base, then you cant really make an assumption of 10 unless the text or material that you are using defines it as such. http://www.wolframalpha.com/input/?i=logarithm&lk=1&a=ClashPrefs_*MathWorld.Logarithm-