Find the Domain 16^x=64

Problem

16=64

Solution

1. Identify the type of expression. The given equation 16=64 is an exponential equation where the variable x is in the exponent.

2. Determine the domain of the function. For any exponential function of the form ƒ(x)=ax where a>0 the function is defined for all real numbers.

3. Analyze the constraints. There are no denominators, square roots of negative numbers, or logarithms in the expression that would restrict the values of x

4. Conclude that the domain consists of all real numbers, which can be written in interval notation.

Final Answer

Domain:(−∞,∞)

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