Question

what is the value of \\(\log_{4} 16\\)?

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Explanation:

Identify the logarithmic expression

The given expression is \(\log_{4}{16}\).

Apply the definition of logarithms

Let \(x = \log_{4}{16}\). This is equivalent to:

$$4^x = 16$$

Solve for the exponent

Since \(16 = 4^2\), we have:

$$4^x = 4^2 \implies x = 2$$

Answer:

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