Logarithms I - Normal

Question 1: Compare logarithms based on the properties of the logarithmic function

\log_{\frac{5}{2}} (3)

and

\log_{\frac{5}{2}} (9)

A

Cannot be compared

B

\log_{\frac{5}{2}} (9) - greater than \log_{\frac{5}{2}} (3)

C

\log_{\frac{5}{2}} (3) - greater than \log_{\frac{5}{2}} (9)

D

They are equal

Question 2: Compare logarithms based on the properties of the logarithmic function

\log_{\frac{1}{7}} (5)

and

\log_{\frac{1}{7}} (25)

A

\log_{\frac{1}{7}} (25) - greater than \log_{\frac{1}{7}} (5)

B

They are equal

C

\log_{\frac{1}{7}} (5) - greater than \log_{\frac{1}{7}} (25)

D

Cannot be compared

Question 3: Find

x

, if

\log_{5} (x) = 3

A

5

B

25

C

125

D

1

Question 4: Find

x

, if

\log_{x} (64) = 6

A

x = 6

B

x = 10

C

x = 8

D

x = 2

Question 5: Find

x

, if

\log_{7} (5 - x) = \log_{49} (4)

A

x = 3

B

x = 2

C

x = 0

D

x = 1

Test: Logarithms I - Normal