Esercizio
$4^x+2^{x+1}=24$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 4^x+2^(x+1)=24. Applicare la formula: a^{\left(b+c\right)}=a^ba^c. Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x e x=4. Simplify \left(2^{2}\right)^x 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. Applicare la formula: x+a=b\to x=b-a, dove a=2\cdot 2^x, b=24, x+a=b=2^{2x}+2\cdot 2^x=24, x=2^{2x} e x+a=2^{2x}+2\cdot 2^x.
Solve the exponential equation 4^x+2^(x+1)=24
Risposta finale al problema
$x=2$