Автор - mrvaeron

27*5^x-125*3^x=0. Помогите решить

Ответ

Проверено экспертом

Автор - arsenlevadniy
27cdot5^x-125cdot3^x=0, \ <br />
27cdot frac{5^x}{3^x} -125=0, \ <br />
27cdot (frac{5}{3})^x =125, \ <br />
 (frac{5}{3})^x = frac{125}{27} , \ <br />
 (frac{5}{3})^x = (frac{5}{3})^3 , \ x=3

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