determine the exact value for f'(2) if f(x)=3^2x-4

[thatdumbstudent]

hi everyone! this is actually a technology active questions however i would like to know the steps into solving this? I've attached the solution down below but I don't get how the exponent is turned into the log?
thanks!!

[S_R_K]

The results being used are the following.

By change of base, we have \(a^x = e^{x\log_e a} \)

Hence, \(\frac{d}{dx}(a^x) = \log_e a \times e^{x\log_e a} = \log_e a \times a^x\).