Question

resolva passo a passo .. log 7 √7 na base 7.

Answer 1

$log_{7}(7 \sqrt{7} ) = log_{7}(7) + log_{7}( \sqrt{7} ) \\ \sqrt{7} = {7}^{ \frac{1}{2} } \\ log_{7}(7) + log_{7}( {7}^{ \frac{1}{2} } ) = \\ 1 + ( \frac{1}{2} ) \times log_{7}(7) \\ 1 + ( \frac{1}{2} ) \times 1 = \\ 1 + \frac{1}{2} = \\ \frac{3}{2} = 1.5$