Question: Evaluate the following logarithmic equation: \[ \log_{2}(16) = x \] Answer How to enter your…

Evaluate the following logarithmic equation:

\[ \log_{2}(16) = x \]

Answer

How to enter your answer (opens in new window)

\[ x = \boxed{\quad} \]

Solution

To evaluate the logarithmic equation \(\log_2(16) = x\), follow these steps: Recognize the logarithmic equation \(\log_2(16) = x\). This equation means that \(2^x = 16\). Rewrite 16 as a power of 2. Since \(16 = 2^4\), substitute this into the equation: \[ 2^x = 2^4 \] Since the bases are the same, set the exponents equal to each other: \[ x = 4 \] So, \(x = 4\).