Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 4^(4x+1)=8^(3x). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=4x+1 e x=4. Simplify \left(2^{2}\right)^{\left(4x+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 4x+1. Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=2\left(4x+1\right), b=3x, x=2, y=8, x^a=2^{2\left(4x+1\right)}, x^a=y^b=2^{2\left(4x+1\right)}=8^{3x} e y^b=8^{3x}. Simplify \left(2^{3}\right)^{3x} 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 3x.

Solve the exponential equation 4^(4x+1)=8^(3x)