Find the Domain log of 243=x

Problem

(log_243)(x)

Solution

1. Identify the logarithmic function based on the input. The expression "log of 243=x" is interpreted as the function ƒ(x)=(log_243)(x)

2. Recall the definition of the domain for a logarithmic function (log_b)(x) The argument x must be strictly greater than zero for the logarithm to be defined in the set of real numbers.

3. Set up the inequality for the domain based on the argument of the function.

x>0

4. Express the domain in interval notation. The set of all values greater than zero is represented as (0,∞)

Final Answer

Domain of *(log_243)(x)=(0,∞)

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