Question

sabendo que log 2 = 0,301; log 3 = 0,477 e log 7 = 845, entao calcule log 144​

Answer 1

Resposta:

2,158

Explicação passo a passo:

Log 144 = Log (12*12) =

Log 12 + Log 12 = Log (3*4) + Log (3*4) =

Log 3 + Log 4 + Log 3 + Log 4 =

0,477 + Log (2*2) + 0,477 + Log (2*2)

0,954 + Log 2 + Log 2 + Log 2 + Log 2 =

0,954 + 4*(0,301) = 0,954 + 1,204 = 2,158

Answer 2

$log(144)$

$log(2 \: . \: 2 \: . \: 2 \: . \: 2 \: . \: 3 \: . \: 3)$

$log(2 {}^{4} \: . \: 3 {}^{2} )$

$4 \: . \: log(2)+ 2 \: . \: log(3)$

$4 \: . \: 0,301 + 2 \: . \: 0,477$

$1,204 + 0,954$

$\boxed{\boxed{\boxed{2,158}}}$

att. yrz