АЛГЕБРА, ПОМОГИТЕ ПОЖАЛУЙСТА. Created by xfawtg. matematika-ru

АЛГЕБРА, ПОМОГИТЕ ПОЖАЛУЙСТА...

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$log_2x^2=2log_2x\\
log_2x=t\\
t^2-4t+3=0\\
(t-3)(t-1)=0\\
log_2x=3;x=2^3=8\\
log_2x=1;x=2^1=2$

Ответ: 2 и 8

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MaxikMK Запись логарифмов: log(основание, число).

log²(2, x) + 3 = 2log(2, x²),
log²(2, x) + 3 = 4log(2, x);

log(2, x) = t,
t² + 3 = 2t,
t² - 4t + 3 = 0,
D = (-4)² - 4*3 = 16 - 12 = 4 = 2²,
t = (4 ± 2)/2 = 2 ± 1,
t1 = 1, t2 = 3;

log(2, x) = 1 и log(2, x) = 3,
x = 2¹ и x = 2³,
x = 2 и x = 8.

Ответ: 2; 8.

1 votes Thanks 1

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pozhalujstaaa 2 i 3 16 ballov

dam mnogo ballov pomogite pozhalujsta nado nechetnye nomera reshit chto smozhet

dam mnogo ballov najti proizvodnuyu

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