Find the Domain 3e^(8x)=1386

Problem

3*e(8*x)=1386

Solution

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

2. Determine the constraints on the variable x For any exponential function of the form a⋅eƒ(x)=c the domain consists of all values of x for which the exponent ƒ(x) is defined.

3. Analyze the exponent ƒ(x)=8*x Since 8*x is a linear polynomial, it is defined for all real numbers.

4. Conclude that there are no restrictions such as denominators being zero or negative values inside logarithms or square roots. Therefore, the domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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