Question

(log3 / log2) * (log5 / log3) * (log10 / log5) + (1 / (log4 / log5))

Answer 1

Resposta:

$( \frac{ log(3) }{ log(2) } ).( \frac{ log(5) }{ log(3) } ).( \frac{ log(10) }{ log(5) } ) + ( \frac{1}{ \frac{ log(4) }{ log(5) } } ) \\ \\ ( \frac{ log(10) }{ log(2) } ) + 1. \frac{ log(5) }{ log(4) } \\ \\ \frac{1}{ log(2) } + \frac{ log(5) }{ log(4) } \\ \\ \frac{1}{ log(2) } + \frac{ log(5) }{ log( {2}^{2} ) } \\ \\ \frac{1}{ log(2) } + \frac{ log(5) }{2 log(2) } \\ \\ \frac{2 + log(5) }{2 log(2) }$