Answer:
A x=3
Step-by-step explanation:
(3^x) ^1/2 ÷ 3^1/2 = 3
We know that a^b^c = a ^(b*c)
3^(x *1/2) ÷ 3^1/2 = 3
3^(x /2) ÷ 3^1/2 = 3
We know that a^b ÷ a^c = a^(b-c)
3^(x /2 - 1/2) = 3
3^ ((x-1)/2) = 3
Rewriting 3 as 3^1
3^ ((x-1)/2) = 3^1
Since the bases are the same, the exponents are the same
(x-1)/2 =1
Multiply each side by 2
(x-1)/2 *2 =1*2
x- 1=2
Add 1 to each side
x-1+1 = 2+1
x=3
