How do I find the derivative of $(x) = log_6x$ ?

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Answer 1 · 2017-01-20T20:26:54

$log_6 x = lnx/ln6$

$f(x) = log_6 x = lnx/ln6 = 1/ln6 * lnx$ ,
so

$f'(x) = 1/ln6 d/dx(lnx) = 1/ln6 * (1/x) = 1/(xln6)$

How do I find the derivative of (x) = log_6x(x) = log_6x?