Question
Write the given logarithmic equation in exponential form. \[ \begin{array}{l}\text { 4. } \log _{6} a=12\end{array} \]
Ask by Olson Burgess. in the United States
Mar 14,2025
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Answer
The logarithmic equation \( \log_{6} a = 12 \) can be rewritten in exponential form as \( a = 6^{12} \).
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The Deep Dive
To convert the logarithmic equation \(\log_{6} a = 12\) into exponential form, we express it as: \[ a = 6^{12} \] This means that \(a\) is equal to 6 raised to the power of 12. How powerful is that? It's a huge number!