Question

Sendo log 2 = a, log 3 = b e log 5 = c, determine o valor de log 360:?

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{360 = 2.2.2.3.3.5 = 2^3.3^2.5}$

$\mathsf{log\:360 = 3\:log\:2 + 2\:log\:3 + log\:5}$

$\boxed{\boxed{\mathsf{log\:360 = 3a + 2b + c}}}$

Answer 2

Resposta:

log 6= log 3*2 = log 3+log 2 =a+b      

log 10 = 1

log 360 =log (6²*10) = log 6²+ log 10  = 2*log 6 + 1

=2*(a+b) +1

= 2a+2b+1

Mas poderia ser...........................

log 360 = log (2³*3²*5)

=log 2³ + log 3² + log 5

=3 * log 2 + 2 * log 3 + log 5

=3a+2b+c