Here are the essential concepts you must grasp in order to answer the question correctly.
Exponential Equations
Exponential equations are equations in which variables appear as exponents. To solve these equations, one common method is to express both sides of the equation with the same base. This allows us to equate the exponents directly, simplifying the process of finding the variable's value.
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Properties of Exponents
The properties of exponents, such as the product of powers, power of a power, and the power of a product, are essential for manipulating exponential expressions. For instance, the property that states a^(m/n) = n√(a^m) helps in rewriting expressions like 1/√2 in terms of powers, facilitating the comparison of bases.
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Equating Exponents
When two exponential expressions with the same base are equal, their exponents must also be equal. This principle is crucial for solving exponential equations. By transforming both sides of the equation to have a common base, we can set the exponents equal to each other, leading to a straightforward algebraic solution.
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