Question

qual o resultado final?​

Answer 1

Explicação passo-a-passo:

$\sf log_{10}~1000+log_{3}~243$

$\sf =log_{10}~10^3+log_{3}~3^5$

$\sf =3\cdot log_{10}~10+5\cdot log_{3}~3$

$\sf =3\cdot1+5\cdot1$

$\sf =3+5$

$\sf =8$

Answer 2

$log_{10}1000 = x\implies 10^x = 1000 \implies 10^x = 10^{3} \ \therefore \ x = 3\\log_3243 = y \implies 3^y = 243 \implies 3^y = 3^5 \ \therefore \ y = 5 \\ \\ log_{10}1000 + log_3243 = \\ 3 + 5 = \\ \boxed8$