Is this the correct first step?

Answer:
The solution is
Step-by-step explanation:
No
[tex]8^3^x^-^4[/tex] =[tex]2^2^x^+^9[/tex]
[tex]2^3^(^3^x^-^4^)[/tex]= [tex]2^2^x^+^9[/tex]
multiply 3 with 3x - 4 in the power then we get
[tex]2^9^x^-^1^2[/tex]= [tex]2^2^x^+^9[/tex]
hence 2 is same so we compare the power values then we get
9x-12 =2x +9
9x - 2x = 9+12
7x = 21
divide by 7 on both sides we get
7x / 7 = 21 / 7
x = 3