Найдите x . 4^2x - 2 ^ 2x+4 + 15 = 0 Log осн2 X = (lg 5 / lg 0,5) + log осн.4 225. Created by Animeshnikq. algebra-ru

lg 0,5) + log осн.4 225...

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1
4^2x-16*2^x+15=0
2^2x=a
a²-16a+15=0
a1+a2=16 U a1*a2=15
a1=1⇒2^2x=1⇒2x=0⇒x=0
a2=15⇒2^2x=15⇒x=log(4)15
2
log(2)x=log(0,5)5+log(2)15
log(20x=-log(2)5+log(2)15
log(2)x=log(2)(15/5)
x=3

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