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

Question

Accepted Answer

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).

Answer

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).

Convert the exponential equation $2^{5} = 32$ to its equivalent logarithmic form.

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Convert the exponential equation $2^{5} = 32$ to its equivalent logarithmic form.