Question

find the derivative of log3 e^x

Answer 1

can you rewrite that as ln(e^x) / ln(3)

Answer 2

uhm idk..

Answer 3

Look up the change of base formula for logarithms if you're not sure @dolphins121

Answer 4

By using natural log..

Answer 5

log(a)x=(lnx)/(lna)

Answer 6

so ln(e^x)/ln(3) ?

Answer 7

\[
\log_3(e^x)= x\log_3(e)\\
\]This is just \(cx\).

Answer 8

\[\log_a (x) = \frac{\log_b(x)}{\log_b(a)} ~~\sf [\text{this is the change of base formula}]\]\[\log_3(e^x) = \frac{\log_e(e^x)}{\log_e(3)}\]And remember, \(\log_e(e^x) = \ln(e^x)\)