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Test: Logarithms II - Normal

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Question 1: Find

x

, if

\log_{4} (5 + 3 x) = 3

A

x = \frac{59}{3}

B

x = 5

C

x = \frac{29}{3}

D

x = 1

Question 2: Find

x

, if

\log_{5} (2 x + 3) = \log_{5} (x)

A

x = - 3

B

x = 6

C

x = 1

D

x = 3

Question 3: Compare logarithms based on the properties of the logarithmic function

\log_{\frac{1}{2}} (8)

and

\log_{\frac{1}{2}} (512)

A

They are equal

B

\log_{\frac{1}{2}} (512) - greater than \log_{\frac{1}{2}} (8)

C

\log_{\frac{1}{2}} (8) - greater than \log_{\frac{1}{2}} (512)

D

Cannot be compared

Question 4: Find

x

, if

\log_{4} (x) = 2

A

1

B

2

C

16

D

4

Question 5: Find the value of

\log_{2} 26 - \log_{2} 13 = ...

A

1

B

4.6

C

4

D

5.7

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