Respuesta :

Hello from MrBillDoesMath!

Answer:

(1/x) * ( (1/ln7) -  (1/ln9) )

Discussion:

Using the change of base formula

log_b(x) = ln(x) / ln(b) sp       where _b means to log to base b

f(x) = ln(x)/ln(7) - ln(x)/ln(9)

so

f' = (1/x) *(1/ln7) - (1/x) *(1/ln9)

  = (1/x) * ( (1/ln7) -  (1/ln9) )

Thank you,

MrB