Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 36^(x-2)=6^(4x). Applicare la formula: x^b=pfgmin\left(x\right)^b, dove b=x-2 e x=36. Simplify \left(6^{2}\right)^{\left(x-2\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-2. Applicare la formula: a^b=a^c\to b=c, dove a=6, b=2\left(x-2\right) e c=4x. Applicare la formula: mx=ny\to \frac{m}{mcd\left(m,n\right)}x=\frac{n}{mcd\left(m,n\right)}y, dove x=x-2, y=x, mx=ny=2\left(x-2\right)=4x, mx=2\left(x-2\right), ny=4x, m=2 e n=4.

Solve the exponential equation 36^(x-2)=6^(4x)