Question

Dados log3 2=0,63 e log3 5=1,46 determine log25 32

Answer 1

1,08

Explicação passo-a-passo:

$log_{25}(32) = \dfrac{ log_{3}(32) }{ log_{3}(25) } = \dfrac{ log_{3}( {2}^{5} ) }{ log_{3}( {5}^{2} ) } = \dfrac{5 log_{3}(2) }{2 log_{3}(5) } = \dfrac{5 \times 0,63}{2 \times 1,46} = \dfrac{3,15}{2,92} = \dfrac{315}{292} = 1,08$