Question

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

Answer 1

Answer:

x=8

Step-by-step explanation:

It just is, no explanation.

Answer 2

Answer:

$\qquad\quad {:}\leadsto\sf {3}^{\dfrac {x}{2}}\times {3}{}^{\dfrac {x}{4}}=3^6$

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

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

$\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {3x}{4}}=3^6$

$\qquad\quad {:}\leadsto\sf \dfrac {3x}{4}=6$

• Use cross multiplication method

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

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

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