Learn how to solve exponentialgleichungen problems step by step online. Solve the exponential equation 9^(x+9)=27^(x+7). Wenden Sie die Formel an: x^b=pfgmin\left(x\right)^b, wobei b=x+9 und x=9. Simplify \left(3^{2}\right)^{\left(x+9\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+9. Wenden Sie die Formel an: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, wobei a=2\left(x+9\right), b=x+7, x=3, y=27, x^a=3^{2\left(x+9\right)}, x^a=y^b=3^{2\left(x+9\right)}=27^{\left(x+7\right)} und y^b=27^{\left(x+7\right)}. Simplify \left(3^{3}\right)^{\left(x+7\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+7.

Solve the exponential equation 9^(x+9)=27^(x+7)