Esercizio
$32^{\frac{x}{3}}=8^{x-12}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 32^(x/3)=8^(x-12). Applicare la formula: a^{\left(b+c\right)}=a^ba^c. Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=\frac{x}{3} e x=32. Simplify \left(2^{5}\right)^{\frac{x}{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{x}{3}. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove x=8, m=x e n=-12.
Solve the exponential equation 32^(x/3)=8^(x-12)
Risposta finale al problema
$x=27$