Question

Define logarithmatic function

Answer 1

Hey mate here we go with Ur question

Logarithmic Functions:-

Logarithmic functions are generally given in the form f(x) = log_{a}(x) , where *a* is the base. The common logarithm refers to a base of ten. Logarithmic functions are continuous for all values of X>0 and are the inverses of their exponential counterparts. The derivative of a logarithmic function is

f(x) = \frac{1}{x ln(a) } .

Some general rules of logarithmic functions are:

$log_{a}(a) = 1 \\ log_{a}(1 ) = 0 \\ log_{a}(xy) = log_{a}(x) + log_{a}(y) \\ log_{a}( {x}^{y} ) = xlog_{a}(y) \\ etc...$

A special case of logarithmic functions is the natural logarithm,

$f(x) = ln(x)$

I hope this will helps you

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