What is the exponential form of the logarithmic equation $4 = \log_{0.8} 0.4096$ ?

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Solution

Finding the exponential form of the given expression:
Let the logarithmic equation be $\log_{a} b = c$ then its exponential form be $a^{c} = b$ .
Given,
$4 = \log_{0.8} 0.4096$
Here, $a = 0.8, b = 0.4096, c = 4$
$\Rightarrow 0 . 8^{4} = 0.4096$
Hence, the exponential form of the given equation is $0 . 8^{4} = 0.4096$ .

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