Learn how to solve problems step by step online. Solve the exponential equation 25^(2x)=5^(x^2-12). Wenden Sie die Formel an: a^{\left(b+c\right)}=a^ba^c. Wenden Sie die Formel an: x^b=pfgmin\left(x\right)^b, wobei b=2x und x=25. Simplify \left(5^{2}\right)^{2x} 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 2x. Wenden Sie die Formel an: x^mx^n=x^{\left(m+n\right)}, wobei x=5, m=x^2 und n=-12.

Solve the exponential equation 25^(2x)=5^(x^2-12)