Impara online a risolvere i problemi di integrali di funzioni esponenziali passo dopo passo. Solve the exponential equation 25^x=125^(x-2). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x e x=25. 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: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=2x, b=x-2, x=5, y=125, x^a=5^{2x}, x^a=y^b=5^{2x}=125^{\left(x-2\right)} e y^b=125^{\left(x-2\right)}. Simplify \left(5^{3}\right)^{\left(x-2\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 x-2.

Solve the exponential equation 25^x=125^(x-2)