Ask Me Help Desk - Find equation of line tangent to graph f(x) = (lnx) at x =4

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Find equation of line tangent to graph f(x) = (lnx) at x =4

find equation of the line tangent to the graph of f(x) = (lnx)^6 at x = 4

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The equation of the tangent line is

$y=f'(x)(x-4)+f(x)$

Plug it all in. Let x=4

$f'(x)=\frac{6(ln(x))^{5}}{x}$

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