Impara online a risolvere i problemi di equazioni esponenziali passo dopo passo. Solve the exponential equation 81^(x-2)=3^(3x+7). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x-2 e x=81. Simplify \left(3^{4}\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 4 and n equals x-2. Applicare la formula: a^b=a^c\to b=c, dove a=3, b=4\left(x-2\right) e c=3x+7. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=x, b=-2, x=4 e a+b=x-2.

Solve the exponential equation 81^(x-2)=3^(3x+7)