Write the equation in exponential form. Assume that all constants are positive and not equal to 1. $\log _{8}(4096)=4$
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Answer
The exponential form of the given logarithmic equation is \(\boxed{8^4 = 4096}\)
Step 1 ：Write the equation in exponential form. Assume that all constants are positive and not equal to 1. \(\log _{8}(4096)=4\)
Step 2 ：The question is asking to convert the given logarithmic equation into an exponential form. The general form of a logarithmic equation is \(\log_b(a) = c\), which can be converted into exponential form as \(b^c = a\). Here, \(b = 8\), \(c = 4\) and \(a = 4096\). So, we can directly substitute these values into the exponential form to get the answer.
Step 3 ：The exponential form of the given logarithmic equation is \(\boxed{8^4 = 4096}\)
