Question

Sabendo que log5 2= 0,43, Log 5 3 = 0,68, Calcule log9por8

Answer 1

$log_{9}(8) = \frac{ log(8) }{ log(9) } \\ \frac{ log_{5}(8) }{ log_{5}(9) } = \frac{ log_{5}( {2}^{3} ) }{ log_{5}( {3}^{2} ) } \\ = \frac{3 \times log_{5}(2) }{2 \times log_{5}(3) } \\ = \frac{3 \times 0.43}{2 \times 0.8} = \frac{1.29}{1.36} = 0.9$