Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation x^2+4x=6^k. Applicare la formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, dove b=4, bx=4x e x^2+bx=x^2+4x. Applicare la formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, dove b=4, bx=4x, f=4, g=-4 e x^2+bx=x^2+4x+4-4. Applicare la formula: x+a=b\to x=b-a, dove a=-4, b=6^k, x+a=b=\left(x+2\right)^2-4=6^k, x=\left(x+2\right)^2 e x+a=\left(x+2\right)^2-4. Applicare la formula: x^a=b\to \left(x^a\right)^{\frac{1}{a}}=\pm b^{\frac{1}{a}}, dove a=2, b=6^k+4 e x=x+2.

Solve the exponential equation x^2+4x=6^k