Find the Domain 2 log of x- log of 4=0

Problem

2*(log_)(x)−(log_)(4)=0

Solution

1. Identify the logarithmic terms in the equation. For a logarithm (log_)(u) to be defined, the argument u must be strictly greater than zero.

2. Set up the inequality for the argument containing the variable x In the term 2*(log_)(x) the argument is x

3. Solve the inequality x>0

4. Check the other logarithmic terms. The term (log_)(4) has a constant argument of 4 which is always greater than zero and does not restrict the domain further.

5. Combine all restrictions to determine the set of all possible values for x

Final Answer

Domain:x>0

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