Question

How do I differentiate log x base 2?

Answer 1

\[\frac{d}{dx}[\log_2(x)]\]?

Answer 2

use change of base

Answer 3

Yes Satellite

Answer 4

Get lnx/ln2 then ...?

Answer 5

you can memorize the answer, or write

\[\log_2(x)=\frac{\ln(x)}{\ln(2)}\] and differentiate that one
don't forget \(\ln(2)\) is just a number

Answer 6

So does it come down to lnx/xln2 ?

Answer 7

no

Answer 8

the derivative of \(\ln(x)\) is \(\frac{1}{x}\)

Answer 9

therefore you numerator should be \(1\)

Answer 10

One moment please

Answer 11

So is it 1/xln2 ?

Answer 12

yes

Answer 13

Cheers, three of us discussing which method was right :P