Question

domain of the function f(x)=log(x^2-3)(log4x) is​

Answer 1

How to Find the Domain of logarithmic Functions?

A step by step tutorial, with detailed solutions, on how to find the domain of real valued logarithmic functions is presented. Problems matched to the exercises with solutions at the bottom of the page are also presented. also a Step by Step Calculator to Find Domain of a Function is included.

Definition of the Domain of a Function

For a function f defined by an expression with variable x, the implied domain of f is the set of all real numbers variable x can take such that the expression defining the function is real. The domain can also be given explicitly. 

Examples on How to Find the Domain of logarithmic Functions with Solutions

Example 1

Find the domain of function f defined by 
f (x) = log3(x - 1)
Solution to Example 1 
f(x) can take real values if the argument of log3(x - 1) which is x - 1 is positive. Hence the condition on the argument

Answer 2

Answer:

$f = In(x) + 21n(2))In(x^2 - 3) / In(10)^{2}x, x > \sqrt 3$

Step-by-step explanation:

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