Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 3^(3x)=9^(x+1). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=3x, b=x+1, x=3, y=9, x^a=3^{3x}, x^a=y^b=3^{3x}=9^{\left(x+1\right)} e y^b=9^{\left(x+1\right)}. Simplify \left(3^{2}\right)^{\left(x+1\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals x+1. Applicare la formula: a^b=a^c\to b=c, dove a=3, b=3x e c=2\left(x+1\right). Applicare la formula: x\left(a+b\right)=xa+xb, dove a=x, b=1, x=2 e a+b=x+1.

Solve the exponential equation 3^(3x)=9^(x+1)