Write the equation in logarithmic form. \[ 2^{4}=16 \] The equation in logarithmic form is $\square$.

Step 1 ：Write the equation in logarithmic form. The given equation is \(2^{4}=16\).

Step 2 ：The given equation is in exponential form. To convert it to logarithmic form, we need to understand the relationship between exponential and logarithmic forms.

Step 3 ：In an exponential equation like \(b^x = y\), \(b\) is the base, \(x\) is the exponent and \(y\) is the result.

Step 4 ：In a logarithmic equation like \(\log_b(y) = x\), \(b\) is the base, \(y\) is the result and \(x\) is the exponent.

Step 5 ：So, to convert the given equation \(2^4 = 16\) to logarithmic form, we can say that the base is 2, the result is 16 and the exponent is 4.

Step 6 ：Therefore, the logarithmic form of the equation will be \(\log_2(16) = 4\).

Step 7 ：Final Answer: The equation in logarithmic form is \(\boxed{\log_{2}(16) = 4}\).