Question

27*5^x-125*3^x=0. Помогите решить

Answer 1

$27cdot5^x-125cdot3^x=0, \ 27cdot frac{5^x}{3^x} -125=0, \ 27cdot (frac{5}{3})^x =125, \ (frac{5}{3})^x = frac{125}{27} , \ (frac{5}{3})^x = (frac{5}{3})^3 , \ x=3$