Question

Calcula aplicando la definición de logaritmo

Answer 1

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$= log_{4}(2) + log(10000) - log_{2}(1) + log_{5}( \frac{1}{3125} ) \\ = log_{ {2}^{2} }(2) + log_{10}( {10}^{4} ) - 0 + log_{5}( {5}^{ - 5} ) \\ = \frac{1}{2} log_{2}(2) + 4 log_{10}(10) - 5 log_{5}(5) \\ = \frac{1}{2} + 4 - 5 \\ = - \frac{1}{2}$