Impara online a risolvere i problemi di equazioni esponenziali passo dopo passo. Solve the exponential equation 6^(x+4)=36^(x-5). Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=x+4, b=x-5, x=6, y=36, x^a=6^{\left(x+4\right)}, x^a=y^b=6^{\left(x+4\right)}=36^{\left(x-5\right)} e y^b=36^{\left(x-5\right)}. Simplify \left(6^{2}\right)^{\left(x-5\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-5. Applicare la formula: a^b=a^c\to b=c, dove a=6, b=x+4 e c=2\left(x-5\right). Applicare la formula: x\left(a+b\right)=xa+xb, dove a=x, b=-5, x=2 e a+b=x-5.

Solve the exponential equation 6^(x+4)=36^(x-5)