Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 2^(6x-8)*64^(2-x)=2^(9x+4). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=2-x e x=64. Simplify \left(2^{6}\right)^{\left(2-x\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 2-x. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove x=2, m=6x-8 e n=6\left(2-x\right). Applicare la formula: a^b=a^c\to b=c, dove a=2, b=6x-8+6\left(2-x\right) e c=9x+4.

Solve the exponential equation 2^(6x-8)*64^(2-x)=2^(9x+4)