Question

Differentiate log to the base 10 x wrt x ?

Answer 1

`(dy)/(dx)=1/(xln10)`

Explanation:

`y=log_(10)x--(1)`

`rarr10^y=x`

take logs to base `e`

`ln10^y=lnx`

`yln10=lnx`

differentiate `wtx`

`ln10(dy)/(dx)=1/x`

`(dy)/(dx)=1/(xln10)`