Impara online a risolvere i problemi di equazioni esponenziali passo dopo passo. Solve the exponential equation 5^(3x+1)=25^(x+1). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=3x+1, b=x+1, x=5, y=25, x^a=5^{\left(3x+1\right)}, x^a=y^b=5^{\left(3x+1\right)}=25^{\left(x+1\right)} e y^b=25^{\left(x+1\right)}. Simplify \left(5^{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=5, b=3x+1 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 5^(3x+1)=25^(x+1)