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Use the definition of the logarithmic function to find x. log4 0.25=x x=?

Verified Answer :

JcAlmighty

The answer is -1.

\(log_4(0.25) =log_4( \frac{1}{4})= log_4(4^{-1} ) \\ \\ log(x^{a} ) = a*log(x) \\ \\ log_4(4^{-1} )= -1 *log_4(4) \\ \\ log_y(x) = \frac{log(x)}{log(y)} \\ \\ -1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1\)

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