Write the equation in exponential form.
\[
\log _{16} 2=\frac{1}{4}
\]
The equation in exponential form is (Type an equation. Use integers or fractions for any numbers in the equation.)

Answer

Expert–verified

Hide Steps

Answer

\(\boxed{16^{\frac{1}{4}} = 2}\)

Steps

Step 1 ：Write the equation in exponential form: \(\log _{16} 2=\frac{1}{4}\)

Step 2 ：Convert the logarithmic equation to an exponential equation using the formula \(b^c = a\)

Step 3 ：\(16^{\frac{1}{4}} = 2\)

Step 4 ：\(\boxed{16^{\frac{1}{4}} = 2}\)