Write the following logarithmic equation as an exponential equation. Do not simplify your answer.
\[
\log _{b}(3.9)=5
\]
Answer 2 Points
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Answer
The exponential form of the given logarithmic equation is \(\boxed{b^5 = 3.9}\).
Step 1 ：The logarithmic equation given is \(\log _{b}(3.9)=5\).
Step 2 ：We can convert this logarithmic equation to an exponential equation using the property of logarithms that states: if \(\log_b(a) = c\), then \(b^c = a\). Here, \(b\) is the base, \(a\) is the argument of the logarithm, and \(c\) is the value of the logarithm.
Step 3 ：So, we can rewrite the given logarithmic equation \(\log_b(3.9) = 5\) as an exponential equation \(b^5 = 3.9\).
Step 4 ：The exponential form of the given logarithmic equation is \(\boxed{b^5 = 3.9}\).
