Problem

Convert the exponential equation \(2^5 = 32\) to its equivalent logarithmic form.

Answer

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Answer

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 \(\log_{2}32 = 5\).

Steps

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 \(\log_{2}32 = 5\).

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