Answer:
x = √48
Step-by-step explanation:
[tex] ({3}^{ \frac{x}{2} } )( {3}^{ \frac{x}{4} }) = 3 {}^{6}[/tex]
[tex] {3}^{ \frac{x}{2} \times} {}^{ \frac{x}{4} } = 3 {}^{6} [/tex]
[tex]3 {}^{ \frac{ {x}^{2} }{8} } = 3 {}^{6} [/tex]
[tex] \frac{ {x}^{2} }{8} = 6[/tex]
[tex] {x}^{2} = 6 \times 8[/tex]
[tex] {x}^{2} = 48[/tex]
[tex]x = \sqrt{48} [/tex]
