Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 6^(-x)=36^(x+6). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=-x, b=x+6, x=6, y=36, x^a=6^{-x}, x^a=y^b=6^{-x}=36^{\left(x+6\right)} e y^b=36^{\left(x+6\right)}. Simplify \left(6^{2}\right)^{\left(x+6\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+6. Applicare la formula: a^b=a^c\to b=c, dove a=6, b=-x e c=2\left(x+6\right). Applicare la formula: -x=a\to x=-a, dove a=2\left(x+6\right).

Solve the exponential equation 6^(-x)=36^(x+6)