Log4^2 x-6log4 x+5=0

Question

Log4^2 x-6log4 x+5=0

Comments

4^2 и 4 - это основания логарифмов?

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да

Answer 1

Log₁₆x - 6log₄x +5 = 0
log₄x/log₄16 - 6log₄x +5 = 0
1/2*log₄x - 6log₄x + 5 = 0
-5,5log₄x = -5
log₄x = 10/11
х = 4^10/11= ¹¹√4^10