Question

prove that the derivative of log x base a equal to1/(xlog a)

Answer 1

can you re-write what to prove ?
coz if i am thinking right 1/(a log x) is not the derivative of log x base a

Answer 2

yes that mistake

Answer 3

i edited the question

Answer 4

do u know the change of base rule in logarithms ?

Answer 5

yes. then from there i try to use (u/v)' but then cant change the form

Answer 6

d/dx[(ln x)/(ln a)] from here right

Answer 7

u don't need to use that. what u get after using that rule is
lnx / lna
here lna is a constant. so u only have to differentiate lnx.

Answer 8

i see. i'm dont realise its a constant

Answer 9

now u should be getting the correct answer..

Answer 10

thank you. understood

Answer 11

np!