Question

4. (Mack-SP-adaptado)

Considerando log 2 = 0,301 e log 3 = 0,477, então log 450 será igual a:

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log\:2 = 0,301}$

$\mathsf{log\:3 = 0,477}$

$\mathsf{log\:450 = log\:2.3^2.5^2}$

$\mathsf{log\:450 = log\:2.3^2.\left(\dfrac{10}{2}\right)^2}$

$\mathsf{log\:450 = log\:2 + 2\:log\:3 + 2(log\:10 - log\:2)}$

$\mathsf{log\:450 = 0,301 + 2(0,477) + 2(1 - 0,301)}$

$\mathsf{log\:450 = 0,301 + 2(0,477) + 2(0,699)}$

$\mathsf{log\:450 = 0,301 + 0,954 + 1,398}$

$\boxed{\boxed{\mathsf{log\:450 = 2,653}}}$