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?

Answer 1

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

Answer 2

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

Answer 3

yes

Answer 4

thx!!

Answer 5

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-