Answer:
x = 2
Step-by-step explanation:
[tex]3^{x+1}[/tex] + 3 = 30
Substitute the expression in terms of u:
u = [tex]3^{x}[/tex]
Convert the equation in terms of u:
3u + [tex]3^{-1}[/tex] x u = 30
Solve the equation:
u = 9
Formulate new equations in terms of the original variable:
[tex]3^{x}[/tex] = 9
Convert both sides of the equation into terms with the same base:
[tex]3^{x} = 3^{2}[/tex]
Based on the given conditions, corresponding, exponents are equal:
x = 2
