Esercizio
$8^{-x}=4^{-3x+3}$
Soluzione passo-passo
Impara online a risolvere i problemi di equazioni quadratiche passo dopo passo. Solve the exponential equation 8^(-x)=4^(-3x+3). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=-x e x=8. Simplify \left(2^{3}\right)^{-x} 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 -x. Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=-3x, b=-3x+3, x=2, y=4, x^a=2^{-3x}, x^a=y^b=2^{-3x}=4^{\left(-3x+3\right)} e y^b=4^{\left(-3x+3\right)}. Simplify \left(2^{2}\right)^{\left(-3x+3\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 -3x+3.
Solve the exponential equation 8^(-x)=4^(-3x+3)
Risposta finale al problema
$x=2$