Verified answer

log5 + x.log2 = log40

log5 + x.log2 = log(8.5)

log5 + x.log2 = log8 + log5

x.log2 = log8

x.log2 = log2³

x.log2 = 3.log2

x = 3

Alternativa A

~Laplace

vamos la

log 5 +x log 2 = log 40 por propriedade de log

log 5.2^x = log 40 logaritimandos iguais okkk

5.2^x= 40

2^x= 40/5

2^x= 8

2^x= 2³

x=3 okkkkk

log(40) = log(5*8) = log(5) + log(2³) = log(5) + 3*log(2)

x = 3 (A)

pronto

log 5 + x.log 2 = log 40

log 5 + log 2^x = log 40

log (5 . 2^x) = log 40

5 . 2^x = 40

2^x = 40 / 5

2^x = 8 = 2³

x = 3

resposta (A)