Respuesta :
Answer:
[tex]\qquad\quad {:}\leadsto\sf {3}^{\dfrac {x}{2}}\times {3}{}^{\dfrac {x}{4}}=3^6 [/tex]
[tex]\qquad\quad {:}\leadsto\sf 3{}^{\dfrac {x}{2}+\dfrac {x}{4}}=3^6 [/tex]
[tex]\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {2x+x}{4}}=3^6 [/tex]
[tex]\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {3x}{4}}=3^6 [/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {3x}{4}=6 [/tex]
- Use cross multiplication method
[tex]\qquad\quad {:}\leadsto\sf 3x=24 [/tex]
[tex]\qquad\quad {:}\leadsto\sf x=\dfrac {24}{3}[/tex]
[tex]\qquad\quad {:}\leadsto\sf x=8[/tex]
Answer:
x=8
Step-by-step explanation:
It just is, no explanation.
