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Quiz sobre Logaritmos e Propriedades

Authored by FERNANDA BIZI

Mathematics

12th Grade

Used 17+ times

Quiz sobre Logaritmos e Propriedades
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Qual é a definição de logaritmo de um número aa na base bb ?

O número xx tal que bx=ab^x = a

O número xx tal que ax=ba^x = b

O número xx tal que xb=ax^b = a

O número xx tal que ba=xb^a = x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calcule o valor de log⁡101000\log_{10} 1000 .

2

3

4

1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Qual das alternativas representa corretamente a propriedade do logaritmo do produto?

log⁡b(xy)=log⁡bx+log⁡by\log_b (xy) = \log_b x + \log_b y

log⁡b(x+y)=log⁡bx+log⁡by\log_b (x+y) = \log_b x + \log_b y

log⁡b(xy)=log⁡bx⋅log⁡by\log_b (xy) = \log_b x \cdot \log_b y

log⁡b(x/y)=log⁡bx+log⁡by\log_b (x/y) = \log_b x + \log_b y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Resolva a equação: log⁡2x=5\log_{2} x = 5 .

x=10x = 10

x=25x = 25

x=32x = 32

x=16x = 16

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Converta log⁡28\log_2 8 para a base 10.

log⁡108log⁡102\frac{\log_{10} 8}{\log_{10} 2}

log⁡102log⁡108\frac{\log_{10} 2}{\log_{10} 8}

log⁡108⋅log⁡102\log_{10} 8 \cdot \log_{10} 2

log⁡10(8⋅2)\log_{10} (8 \cdot 2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Qual é o valor de log⁡100,01\log_{10} 0,01 ?

−1-1

−2-2

22

11

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Qual das alternativas representa corretamente a propriedade do logaritmo da potência?

log⁡b(xk)=klog⁡bx\log_b (x^k) = k \log_b x

log⁡b(xk)=log⁡bx+k\log_b (x^k) = \log_b x + k

log⁡b(xk)=log⁡b(x⋅k)\log_b (x^k) = \log_b (x \cdot k)

log⁡b(xk)=log⁡bxk\log_b (x^k) = \frac{\log_b x}{k}

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