Here are the essential concepts you must grasp in order to answer the question correctly.
Logarithms
A logarithm is the inverse operation to exponentiation, representing the power to which a base must be raised to obtain a given number. In the equation log₂ x = 3, it indicates that 2 raised to the power of 3 equals x, or 2³ = x.
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Exponential Functions
Exponential functions are mathematical functions of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base, and 'x' is the exponent. Understanding how to manipulate these functions is crucial for solving logarithmic equations, as they often require converting between logarithmic and exponential forms.
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Properties of Logarithms
Logarithms have several key properties that simplify calculations, such as the product, quotient, and power rules. These properties allow for the manipulation of logarithmic expressions, making it easier to solve equations involving logarithms by transforming them into more manageable forms.
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