Question

Considerando que o log 3 = m e log 5 = n. Determine:

a) log 45

b) log3 5

Answer 1

Explicação passo-a-passo:

a)

$\sf log~45=log~(3^2\cdot5)$

$\sf log~45=log~3^2+log~5$

$\sf log~45=2\cdot log~3+log~5$

$\sf \red{log~45=2m+n}$

b)

$\sf log_{3}~5=\dfrac{log~5}{log~3}$

$\sf \red{log_{3}~5=\dfrac{n}{m}}$