Esercizio
$5^2^x-2\left(5^{x+1}\right)+21=0$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 5^2^x-2*5^(x+1)+21=0. Simplify \left(5^2\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: a^{\left(b+c\right)}=a^ba^c. Applicare la formula: ab=ab, dove ab=-2\cdot 5\cdot 5^x, a=-2 e b=5. Applicare la formula: x^a=\left(x^a\right)^{coef\left(a\right)}, dove a=2x, x=5 e x^a=5^{2x}.
Solve the exponential equation 5^2^x-2*5^(x+1)+21=0
Risposta finale al problema
$x=\log_{5}\left(3\right),\:x=\log_{5}\left(7\right)$