Impara online a risolvere i problemi di disuguaglianze lineari a una variabile passo dopo passo. Solve the exponential equation 32^(x-1)=16^(x+4). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x-1 e x=32. Simplify \left(2^{5}\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 5 and n equals x-1. Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=5\left(x-1\right), b=x+4, x=2, y=16, x^a=2^{5\left(x-1\right)}, x^a=y^b=2^{5\left(x-1\right)}=16^{\left(x+4\right)} e y^b=16^{\left(x+4\right)}. Simplify \left(2^{4}\right)^{\left(x+4\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+4.

Solve the exponential equation 32^(x-1)=16^(x+4)