Question

Sendo log 5=p e log 7=q, determine o valor de log 87,5?

Answer 1

$log5 = p$
$log7 = q$

$87,5 = 875/10$

$875 = 7*5^{3}$
__________________________

$log 87,5=log (875/10)$
$log 87,5=log (7*5^{3}/10)$
$log 87,5=log 7 + log 5^{3} - log 10$
$log 87,5=log7 + 3*log5 - log 10$
$log 87,5=q + 3*p - 1$
$log 87,5=q + 3p - 1$