Question

Solve the equation (3^x/2)(3^x/4)=3^6

Answer 1

x=8

Explanation:

It just is, no explanation.

Answer 2

`\qquad\quad {:}\leadsto\sf {3}^{\frac {x}{2}}* {3}{}^{\frac {x}{4}}=3^6`

`\qquad\quad {:}\leadsto\sf 3{}^{\frac {x}{2}+\frac {x}{4}}=3^6`

`\qquad\quad {:}\leadsto\sf 3 {}^{\frac {2x+x}{4}}=3^6`

`\qquad\quad {:}\leadsto\sf 3 {}^{\frac {3x}{4}}=3^6`

`\qquad\quad {:}\leadsto\sf \frac {3x}{4}=6`

• Use cross multiplication method

`\qquad\quad {:}\leadsto\sf 3x=24`

`\qquad\quad {:}\leadsto\sf x=\frac {24}{3}`

`\qquad\quad {:}\leadsto\sf x=8`