Question

usando a aproximação log 11 = 1,041 , calcule: a) log 110 b) 121 c) 1/11 d) log √1331 e) log 1,21 f) log 0,121 por favor respondam todas completinho me ajudem pessoal ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:11 = 1,041}$

$\mathsf{a)\:log\:110 = log\:(11.10) = log\:11 + log\:10 = 1,041 + 1 = \boxed{2,041}}$

$\mathsf{b)\:log\:121 = log\:(11^2) = 2\:log\:11 = 2(1,041) = \boxed{2,082}}$

$\mathsf{c)\:log\:\dfrac{1}{11} = log\:1 - log\:11 = 0 - 1,041 = \boxed{-1,041}}$

$\mathsf{d)\:log\:\sqrt{1331} = log\:(11)^{\frac{3}{2}} = \dfrac{3}{2}.log\:11 = \boxed{1,5615}}$

$\mathsf{e)\:log\:1,21 = \dfrac{11^2}{100} = 2\:log\:11 - log\:100 = 2,082 - 2 = \boxed{0,082}}$

$\mathsf{f)\:log\:0,121 = \dfrac{11^2}{1000} = 2\:log\:11 - log\:1000 = 2,082 - 3 = \boxed{-0,918}}$