
Логарифмы и корни степени
Authored by Елена Буханова
Mathematics
11th Grade

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26 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Решите уравнение: log2(x) + log2(x-3) = 3.
(3 + sqrt(41))/2
2
7
5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Преобразуйте выражение: log(a^b) в более простую форму.
b * log(a)
log(a) + log(b)
log(b^a)
a * log(b)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Найдите корень степени: 2^x = 16.
8
6
4
2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Постройте график функции: y = log(x).
The graph of y = log(x) is a straight line passing through (0, 0) and (1, 1).
The graph of y = log(x) is a curve that starts at (0, 0) and rises steeply as x increases.
The graph of y = log(x) is a horizontal line at y = 1 for all x > 0.
The graph of y = log(x) is a curve that starts from negative infinity at x = 0 and passes through (1, 0), rising slowly as x increases.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Какое свойство логарифмов используется в: log(a*b) = log(a) + log(b)?
Логарифм суммы (log(a + b) = log(a) + log(b))
Логарифм произведения (log(a*b) = log(a) + log(b))
Логарифм частного (log(a/b) = log(a) - log(b))
Логарифм степени (log(a^b) = b * log(a))
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Решите уравнение: log3(x-1) = 2.
8
10
5
12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Преобразуйте: log(x^2) - log(x) в более простую форму.
log(x^2) + log(x)
log(1/x)
log(x^3)
log(x)
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