What is the derivative of f(x)=log_{5}(x) ?

The derivative of f(x)=log_{5}(x) is 1/(xln(5))

What is the first derivative of f(x)=log_{5}(x) ?

The first derivative of f(x)=log_{5}(x) is 1/(xln(5))

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derivative of

f (x) = lo g_{5} (x)

\frac{1}{x ln ( 5 )}

Solution steps

\frac{d}{d x} (lo g_{5} (x))

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= \frac{1}{x ln ( 5 )}

What is the derivative of f(x)=log_{5}(x) ?
The derivative of f(x)=log_{5}(x) is 1/(xln(5))
What is the first derivative of f(x)=log_{5}(x) ?
The first derivative of f(x)=log_{5}(x) is 1/(xln(5))