Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 9^(x+8)=81^(x-1). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=x+8, b=x-1, x=9, y=81, x^a=9^{\left(x+8\right)}, x^a=y^b=9^{\left(x+8\right)}=81^{\left(x-1\right)} e y^b=81^{\left(x-1\right)}. Simplify \left(9^{2}\right)^{\left(x-1\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 x-1. Applicare la formula: a^b=a^c\to b=c, dove a=9, b=x+8 e c=2\left(x-1\right). Applicare la formula: x\left(a+b\right)=xa+xb, dove a=x, b=-1, x=2 e a+b=x-1.

Solve the exponential equation 9^(x+8)=81^(x-1)