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Inverse Properties of Logarithms

For any positive number  \(b\) but \(b \ne 1\),

$$\large{\log _b}{b^k} = k$$

Example:

$${\log _2}{2^5} = 5$$


For any positive number  \(b\) but \(b \ne 1\),

$$\LARGE{b^{{{\log }_b}k}} = k$$

Example:

$$\LARGE{6^{{{\log }_6}3}} = 3$$

 

 

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