Question

Dados log 3 = a e log 2 = b, determine: a) log 6 b) log 36 c) log 1,5

Answer 1

Explicação passo-a-passo:

a)

$\sf log~6=log~(2\cdot3)$

$\sf log~6=log~2+log~3$

$\sf \red{log~6=b+a}$

b)

$\sf log~36=log~(2^2\cdot3^2)$

$\sf log~36=log~2^2+log~3^2$

$\sf log~36=2\cdot log~2+2\cdot log~3$

$\sf \red{log~36=2b+2a}$

c)

$\sf log~1,5=log~\dfrac{3}{2}$

$\sf log~1,5=log~3-log~2$

$\sf \red{log~1,5=a-b}$