Esercizio
$2^{x+1}-4^{x+1}=0$
Soluzione passo-passo
Impara online a risolvere i problemi di regola costante per la differenziazione passo dopo passo. Solve the exponential equation 2^(x+1)-*4^(x+1)=0. Applicare la formula: x+a=b\to x=b-a, dove a=- 4^{\left(x+1\right)}, b=0, x+a=b=2^{\left(x+1\right)}- 4^{\left(x+1\right)}=0, x=2^{\left(x+1\right)} e x+a=2^{\left(x+1\right)}- 4^{\left(x+1\right)}. Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=x+1, b=x+1, x=2, y=4, x^a=2^{\left(x+1\right)}, x^a=y^b=2^{\left(x+1\right)}=4^{\left(x+1\right)} e y^b=4^{\left(x+1\right)}. Simplify \left(2^{2}\right)^{\left(x+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 x+1. Applicare la formula: a^b=a^c\to b=c, dove a=2, b=x+1 e c=2\left(x+1\right).
Solve the exponential equation 2^(x+1)-*4^(x+1)=0
Risposta finale al problema
$x=-1$