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

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

B

Cannot be compared

C

They are equal

D

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

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

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

and

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

A

They are equal

B

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

C

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

D

Cannot be compared

Question 3: Find

x

, if

\log_{5} (x) = 3

A

1

B

5

C

25

D

125

Question 4: Find

x

, if

\log_{x} (64) = 6

A

x = 10

B

x = 6

C

x = 8

D

x = 2

Question 5: Find

x

, if

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

A

x = 1

B

x = 2

C

x = 0

D

x = 3

Test: Logarithms I - Normal