Question

Dados log a=5 e log c= 2 calcule:
a) log( a/c)

b) log (a.c)

Answer 1

EAE mano,

use as propriedades de log,

Do produto..

$\log(xy)\Rightarrow \log( x)+\log( y)$

E do quociente..

$\log\left( \dfrac{x}{y}\right)\Rightarrow \log(x)-\log(y)$

_______________


So fazer então..

$\log\left( \dfrac{a}{c}\right)=\log(a)-\log(c)\\ \log\left( \dfrac{a}{c}\right)=5-2\\\\ \Large\boxed{\log\left( \dfrac{a}{c}\right)=3}$


$\log(ac)=\log(a)+\log(c)\\ \log(ac)=5+2\\\\ \Large\boxed{\log(ac)=7}$


Tenha ótimos estudos ;D

Answer 2

A)Log (a/c)

Log (a/c)=5-2

Log (a/c)=3

B)Log (a.c)

Log (a.c)=5+2

Log (a.c)=7