Question

write an equivalent logarithmic equation for the given exponential equation.
2² = 4
note: write your answer in the form logₐ(b) = c with the argument b wrapped inside parentheses.
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Explanation:

Step1: Recall the conversion formula

The formula for converting an exponential equation \(a^{c}=b\) to a logarithmic equation is \(\log_{a}(b)=c\).

Step2: Identify \(a\), \(b\), and \(c\)

In the given exponential equation \(2^{2} = 4\), \(a = 2\), \(b = 4\), and \(c = 2\).

Step3: Apply the formula

Substitute \(a = 2\), \(b = 4\), and \(c = 2\) into the logarithmic formula \(\log_{a}(b)=c\).

Answer:

\(\log_{2}(4)=2\)