Question

Dados os valores log2=0,3, log3=0,47 e log5=0,70, determine: a) Log 0,04 b) Log 288

Answer 1

$a)\\log\,0,04\\\\log\,\frac{4}{100}\\\\log\,\frac{2^2}{10^2}\\\\log2^2-log10^2\\\\2.log2-2.log10\\\\2\;.\;0,3-2\;.\;1\\\\0,6-2\\\\-1,4$

$b)\\log288\\\\log(2.2.2.2.2.3.3)\\\\log(2^5.3^2)\\\\log2^5+log3^2\\\\5.log2+2.log3\\\\5\;.\;0,3+2\;.\;0,47\\\\1,5+0,94\\\\2,44$