Question

rezolva ecuatia exponentiala

h) $5 * 2^{x} + 3 * 2^{x+1} - 2^{x+2} = 2 * 3^{x} + 3^{x+2} - 3^{x+1}$

Answer 1

$2^x(5+6-4)=3^x(2+9-3) \\ 7*2^x=8*3^x/:3^x \\ 7*( \frac{2}{3})^x=8 \\ ( \frac{2}{3})^x= \frac{8}{7} \\ x= log_{ \frac{2}{3} } \frac{8}{7}$