Подробное решение без логарифмов 5* (4^x) +23*(10^x) -10*(25^x) = 0. Created by dItCh2001. algebra-ru

Подробное решение без логарифмов 5* (4^x) +23*(10^x) -10*(25^x) = 0...

dItCh2001 @dItCh2001

July 2022 1 8 Report

Подробное решение без логарифмов
5* (4^x) +23*(10^x) -10*(25^x) = 0

Answers & Comments

sedinalana 5* (4^x) +23*(10^x) -10*(25^x) = 0 /25^x
5(4/25)^+23*(2/5)^x-10=0
(2/5)^x=t
5t²+23t-10=0
D=529+200=729
t1=(-23-27)/10=-5⇒(2/5)^x=-5 нет решения
t2=(-23+27)/10=2/5⇒(2/5)^x=2/5⇒x=1

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