Question

Sabendo que log a= -3 e log b= 4, calcule o valor de:
a) log (a·b)
b) log a (base)∧^3
c) log (a/b)
d) log√b a

Me ajuda por favor!!!

Answer 1

$\boxed{\begin{array}{l}\tt a)~\sf \ell og(a\cdot b) =\ell og a+\ell og b=-3+4=1\\\tt b)~\sf\ell og a^3=3\ell oga=3\cdot(-3)=-9\\\tt c)~\sf\ell og\bigg(\dfrac{a}{b}\bigg)=\ell oga-\ell ogb=-3-4=-7\\\tt d)\ell og\sqrt{b\cdot a}=\ell og(b\cdot a)^{\frac{1}{2}}=\dfrac{1}{2}\ell og(ba) =\dfrac{1}{2}\cdot1=\dfrac{1}{2}\end{array}}$