Question

se log 2 = a e log 3 = b, determine em função de a e b, o valor de:

a) log 5
b) log 1,125

Answer 1

Explicação passo-a-passo:

a)

$\sf log~5=log~\dfrac{10}{2}$

$\sf log~5=log~10-log~2$

$\sf log~5=1-a$

b)

$\sf log~1,125=log~\dfrac{1125}{1000}$

$\sf log~1,125=log~\dfrac{9}{8}$

$\sf log~1,125=log~9-log~8$

$\sf log~1,125=log~3^2-log~2^3$

$\sf log~1,125=2\cdot log~3-3\cdot log~2$

$\sf log~1,125=2b-3a$