Find the Domain 11900=1200(1.0625^t)

Problem

11900=1200*(1.0625)

Solution

1. Identify the type of equation. This is an exponential equation where the variable t is in the exponent.

2. Determine the constraints on the variable t In the expression 1.0625 the base 1.0625 is a positive constant.

3. Analyze the domain of exponential functions. An exponential function of the form at where a>0 is defined for all real numbers.

4. Conclude that there are no values of t that would make the expression undefined (such as division by zero or taking the square root of a negative number).

Final Answer

Domain:(−∞,∞)

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