Find the Domain 8+2^(x+1)=2^(2x)

Problem

8+2(x+1)=2(2*x)

Solution

1. Identify the type of equation. This is an exponential equation where the variable x appears in the exponents.

2. Check for restrictions on the variable x Exponential functions of the form au are defined for all real numbers u as long as the base a is positive.

3. Analyze the exponents x+1 and 2*x Both are polynomial expressions, which are defined for all real numbers.

4. Determine the domain. Since there are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers, there are no restrictions on x

Final Answer

Domain=(−∞,∞)

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