# Introduction To Logs Quiz

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Watch the Introduction to Logarithms video and then take this quiz to see how well you know the concepts covered in the video.

• 1.

### Write the equation 53 = 125 in log form.

• A.

Log 3 (125) = 5

• B.

Log 125 (5) = 3

• C.

Log 5 (125) = 3

• D.

Log 5 (3) = 124

C. Log 5 (125) = 3
Explanation
The equation 53 = 125 can be written in log form as log 5 (125) = 3. In logarithmic form, the base (5) raised to the power of the exponent (3) equals the number (125).

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• 2.

### Write the log equation log 2 32 = 5 in exponential form

• A.

2 ^ 5 = 32

• B.

5 ^ 2 = 32

• C.

2 ^ 32 = 5

• D.

32 ^ 2 = 5

A. 2 ^ 5 = 32
Explanation
The given log equation log 2 32 = 5 can be rewritten in exponential form as 2^5 = 32. This means that the base 2 raised to the power of 5 equals 32.

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• 3.

### Write the equation a b = x in log form

• A.

Log b (x) = a

• B.

Log a (x) = b

• C.

Log b (a) = x

• D.

Log x (a) = b

B. Log a (x) = b
Explanation
The equation a b = x can be rewritten in log form as log a (x) = b. This equation states that the logarithm of x to the base a is equal to b. This means that a raised to the power of b equals x.

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• 4.

### The equation 2 x = 9 can be entered in the calculator in which form?

• A.

(log 9) / (log 2)

• B.

Log 9 * log 2

• C.

(log 9 )^2

• D.

(log 2) / (log 9)

A. (log 9) / (log 2)
Explanation
To solve the equation 2x = 9, we need to isolate the variable x. One way to do this is by taking the logarithm of both sides of the equation. By using the change of base formula, we can rewrite the equation as log base 2 of 2x = log base 2 of 9. Simplifying further, we get x = (log base 2 of 9) / (log base 2 of 2). Therefore, the correct form to enter this equation into the calculator is (log 9) / (log 2).

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• 5.

### A logarithmic function is the inverse of which function?

• A.

• B.

Linear

• C.

Cubic

• D.

Exponential

D. Exponential
Explanation
A logarithmic function is the inverse of an exponential function. This means that if we have an exponential function, the logarithmic function will "undo" the exponential operation and return us to the original value. In other words, if we have y = a^x, the logarithmic function would be x = log_a(y). Therefore, the correct answer is exponential.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• May 22, 2010
Quiz Created by
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