Răspuns :
ai rezolvarile la maximul de teme; pt 9 f f f jmeker scri au aici continuarea
cu notatiiole 4^x=u si 3^x=v
expresia devine
2uv-3u+4v=6
uv-(3/2)*u+2v=3
Obs ; aici folosesc un artificiu de calcul ce se practica de obicei la legile de compozitie
uv-(3/2)*u+2v-3+3=3
(u+2) (v-3/2) +3=3
(u+2) (v-3/2) =0
cumn u=4^x>0, u_2>0
ramane
v-3/2=0
v=3/2
3 ^x=3/2
x= login baza 3 din (3/2) =
log baza 3din3- log baza 3din 2= 1-logbaza 3 din2= 1-1/logbaz 2din3=
(1-logbaza 2 din3)/logbaza 2din 3
cu notatiiole 4^x=u si 3^x=v
expresia devine
2uv-3u+4v=6
uv-(3/2)*u+2v=3
Obs ; aici folosesc un artificiu de calcul ce se practica de obicei la legile de compozitie
uv-(3/2)*u+2v-3+3=3
(u+2) (v-3/2) +3=3
(u+2) (v-3/2) =0
cumn u=4^x>0, u_2>0
ramane
v-3/2=0
v=3/2
3 ^x=3/2
x= login baza 3 din (3/2) =
log baza 3din3- log baza 3din 2= 1-logbaza 3 din2= 1-1/logbaz 2din3=
(1-logbaza 2 din3)/logbaza 2din 3
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