Question

dados os valores de log 2= 0,3010;log 3=0,4771; log 5= 0,6990 e log 7= 0,8451, Qual o valor de log 420 ?


a)5
b)6
c)7
d)0

Answer 1

$log 2= 0,3010;\quad log 3=0,4771; \\ \\ log 5= 0,6990; \quad log 7= 0,8451, \\ \\ log 420= ? \qquad \qquad 420= 2*2*3*5*7 \\ \\ \\ log420= \\ \\ log (2*2*3*5*7)= \\ \\ log2+log2+log3+log5+log7= \\ \\ 0,3010 +0,3010+0,4771+ 0,6990+0,8451= \boxed{2,6232} \\ \\ \boxed{log420= 2,6232}$