Impara online a risolvere i problemi di fattorizzazione polinomiale passo dopo passo. Solve the exponential equation 3^(5x-1)=27^(4x+2). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=5x-1, b=4x+2, x=3, y=27, x^a=3^{\left(5x-1\right)}, x^a=y^b=3^{\left(5x-1\right)}=27^{\left(4x+2\right)} e y^b=27^{\left(4x+2\right)}. Simplify \left(3^{3}\right)^{\left(4x+2\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 4x+2. Applicare la formula: a^b=a^c\to b=c, dove a=3, b=5x-1 e c=3\left(4x+2\right). Applicare la formula: x\left(a+b\right)=xa+xb, dove a=4x, b=2, x=3 e a+b=4x+2.

Solve the exponential equation 3^(5x-1)=27^(4x+2)