Impara online a risolvere i problemi di addizione di numeri passo dopo passo. Solve the exponential equation 3^3^x=27^9^(x-4). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=3^x, b=9^{\left(x-4\right)}, x=3, y=27, x^a=3^{\left(3^x\right)}, x^a=y^b=3^{\left(3^x\right)}=27^{\left(9^{\left(x-4\right)}\right)} e y^b=27^{\left(9^{\left(x-4\right)}\right)}. Simplify \left(3^{3}\right)^{\left(9^{\left(x-4\right)}\right)} 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 9^{\left(x-4\right)}. Applicare la formula: a^b=a^c\to b=c, dove a=3, b=3^x e c=3\cdot 9^{\left(x-4\right)}. Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x-4 e x=9.

Solve the exponential equation 3^3^x=27^9^(x-4)