Provide an appropriate response.For d > 0 and d ? 0 , explain why d(logd x) = x .

What will be an ideal response?


The inverse properties of logarithms is defined as such, i.e. f [f -1(x)] = x and f -1[f(x)] = x .
If f(x) = dx , then f -1(x) = logd x .
Solve f [f -1(x)] = f [logd x] = d(logd x) which, by definition of inverses, also equals x .

Mathematics

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