Write an equivalent exponential equation.
\[
\log _{16} 8=\frac{3}{4}
\]
Final Answer: The equivalent exponential equation is \(\boxed{16^{\frac{3}{4}} = 8}\).
Step 1 :The given equation is in logarithmic form. To convert it to exponential form, we use the definition of a logarithm: if \(\log_b a = c\), then \(b^c = a\).
Step 2 :So, in this case, \(b\) is 16, \(a\) is 8, and \(c\) is \(\frac{3}{4}\).
Step 3 :Final Answer: The equivalent exponential equation is \(\boxed{16^{\frac{3}{4}} = 8}\).