Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 3^x^2=9^(5x-12). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=x^2, b=5x-12, x=3, y=9, x^a=3^{\left(x^2\right)}, x^a=y^b=3^{\left(x^2\right)}=9^{\left(5x-12\right)} e y^b=9^{\left(5x-12\right)}. Simplify \left(3^{2}\right)^{\left(5x-12\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 5x-12. Applicare la formula: a^b=a^c\to b=c, dove a=3, b=x^2 e c=2\left(5x-12\right). Applicare la formula: x\left(a+b\right)=xa+xb, dove a=5x, b=-12, x=2 e a+b=5x-12.

Solve the exponential equation 3^x^2=9^(5x-12)