Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 16^x=64^(x+4). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x e x=16. Simplify \left(2^{4}\right)^x 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. Applicare la formula: x^a=y^b\to x^a=pfgg\left(y,x\right)^b, dove a=4x, b=x+4, x=2, y=64, x^a=2^{4x}, x^a=y^b=2^{4x}=64^{\left(x+4\right)} e y^b=64^{\left(x+4\right)}. Simplify \left(2^{6}\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 6 and n equals x+4.

Solve the exponential equation 16^x=64^(x+4)