Question

find prime (x) for f(x)=3^(2x+6)

Answer 1

Sorry does this ask when will f(x) be prime?

Answer 2

yep

Answer 3

x is all the real numbers?

Answer 4

oh yes sorry i didnt look close at question. yes

Answer 5

but than there are infinite many solutions as your f(x) is continuous and takes all values from 0 till infinity

Answer 6

Isnt the question to find x prime as the derivative?

Answer 7

you re looking for the derivative?
answer is
\[f'(x)=2\ln(3)\times 3^{2x+6}\]by the chain rule

Answer 8

\[\frac{d}{dx}a^x=2^x\ln(a)\]