A6. Dana je družina funkcij $y=\log _{a}\left(3 x^{2}-2 x\right)$. Za kateri a zavzame pripadajoča funkcija pri $x=2$ vrednost 6 ?
(A) $a=2$
(B) $a=\sqrt{2}$
(C) $a=10$
(D) $a=\frac{1}{2}$
(E) nič od navedenega

## II. DEL

The given family of functions is $y=\log _{a}\left(3 x^{2}-2 x\right)$. For which $a$ does the corresponding function take the value 6 at $x=2$?
(A) $a=2$
(B) $a=\sqrt{2}$
(C) $a=10$
(D) $a=\frac{1}{2}$
(E) none of the above
A6. Let's solve $6=\log _{a}(3 \cdot 4-2 \cdot 2)=\log _{a} 8$. This means $a^{6}=8$ or $a=\sqrt[6]{8}=\sqrt{2}$.

## II. PART