Answer: x = 1
Step-by-step explanation:
Apply the exponent rule for multiplication, add the exponents
[tex]3^{2x+3+x-2}=81[/tex]
[tex]3^{3x+1}=81[/tex]
Convert 81 into exponential form with a base of 3
3*3*3*3=81
3^4=81
[tex]3^{3x+1}=3^4[/tex]
Since the bases are the same, set the exponents equal
3x+1=4
3x=3
x=1
