Find the Domain 3.3=5 log of r-0.55

Problem

3.3=5*(log_)(r−0.55)

Solution

1. Identify the logarithmic term in the equation, which is (log_)(r−0.55)

2. Recall the definition of a logarithm, which states that the argument of a common logarithm (base 10) must be strictly greater than zero.

3. Set up an inequality by taking the expression inside the logarithm and making it greater than zero.

r−0.55>0

4. Solve the inequality for r by adding 0.55 to both sides.

r>0.55

5. Express the domain in interval notation based on the inequality.

(0.55,∞)

Final Answer

Domain:r∈(0.55,∞)

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