Question

dados log 2 =0,30, log3=0,48, log5=0,70 e log e = 0,43 resolva as equações: a) 2^x=5 b) e^x=3 c)5^x=e d)e^x-6=0

Answer 1

Resposta:

A) 2^x=5

Aplicando log em ambos os lados

Log2^x=log5

x.log2=log5

x=log5/log2

x=0,70/0,30

x=7/3

B) e^x=3

(Mesma ideia)

Log e^x=log3

x=log3/log e

x=0,48/0,43

x=48/43

C)5^x=e

x=log e/log5

x=0,43/0,70

x=43/70

D) e^x=6

x=log6/log e

x= log(3.2)/0,43

x=log3+log2/0,43

x=0,48+0,30/0,43

x=0,78/0,43

x=78/43