Problem
Convert the exponential equation \(2^5 = 32\) to its equivalent logarithmic form.
Solution
Step 1 ：Start with the given exponential equation \(2^5 = 32\).
Step 2 ：Recall that the logarithmic form of an exponential equation is given by \(\log_{a}b = c\) if and only if \(a^c = b\).
Step 3 ：Apply the formula to convert the given exponential equation to logarithmic form. Here, \(a = 2\), \(b = 32\), and \(c = 5\). Therefore, the logarithmic form of the equation is \(\log_{2}32 = 5\).
