Question

Usando apenas, log 2 = 0,30, log 3 = 0,47 e log 5 = 0,69, calcule o valor da expressão: log 81+ log 256 + log 1000​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:2 = 0,30}$

$\mathsf{log\:3 = 0,47}$

$\mathsf{log\:5 = 0,69}$

$\mathsf{log\:81 + log\:256 + log\:1000 = log\:3^4 + log\:2^8 + log\:10^3}$

$\mathsf{log\:81 + log\:256 + log\:1000 = 4\:log\:3 + 8\:log\:2 + 3\:log\:10}$

$\mathsf{log\:81 + log\:256 + log\:1000 = 4(0,47) + 8(0,30) + 3(1)}$

$\mathsf{log\:81 + log\:256 + log\:1000 = 1,88 + 2,40 + 3}$

$\boxed{\boxed{\mathsf{log\:81 + log\:256 + log\:1000 = 7,28}}}$