Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 4^(x+1)=16^(2x-1). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=x+1, b=2x-1, x=4, y=16, x^a=4^{\left(x+1\right)}, x^a=y^b=4^{\left(x+1\right)}=16^{\left(2x-1\right)} e y^b=16^{\left(2x-1\right)}. Simplify \left(4^{2}\right)^{\left(2x-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 2x-1. Applicare la formula: a^b=a^c\to b=c, dove a=4, b=x+1 e c=2\left(2x-1\right). Applicare la formula: x\left(a+b\right)=xa+xb, dove a=2x, b=-1, x=2 e a+b=2x-1.

Solve the exponential equation 4^(x+1)=16^(2x-1)