Free AP Calculus AB Tests

AP Calculus AB Practice Tests

Logarithms
Limits
Derivatives Part 1
Derivatives Part 2
Derivatives Part 3
Idefinite & Definite Integrals
Riemann Sums, Trapezoidal…
Trigonometric Integrals
Applications of Calculus
Differential Equations

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AP Calculus AB Practice Test: Logarithms

Below is our AP Calculus AB unit test on logarithms. These questions cover basic logarithmic properties, such as the sum and difference of logs, the logarithmic exponent rule, and logarithmic base changes. These log properties will become extremely useful when solving complicated derivatives and integrals.

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AP Calculus AB Practice Tests

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AP Calculus AB Practice Test: Logarithms

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1. Question

Which of the following is a simplification for:

$\log⁡(3x)+\log⁡(x)$

2. Question

Which of the following is a simplification for:

$\log⁡(7x)+\log⁡(3xy)-\log⁡(3x)$

3. Question

Which of the following is equivalent to:

$\log_2 (2^{\log_2(2^7)} )$

4. Question

Which of the following is equal to:

$\log_2 (3) \cdot \log_3 (4) \cdot \log_4 (5) \cdot$ $\ldots \cdot \log_{98} (99) \cdot \log_{99} (100)$

5. Question

Which of the following is equal to:

$\log(z^2) + \log(y^2) + \log(x^2)$, where $\log(x) + \log(y) + \log(z) = 8$

6. Question

Which of the following is a simplification of:

$\ln(x^2) + \ln(e^4)$

7. Question

Which of the following is equivalent to:

$\ln(x) + \ln(x) − \ln(x^2)$

8. Question

Which of the following values of $x$ satisfies the equation:

$\log_x(7) = 3$

9. Question

Which of the following values of $x$ satisfies the equation:

$\log_{(x + 4)}(4) = 2$

10. Question

Which of the following values of $x$ satisfies the equation:

$\log_8(x^2 + 16x + 128) = 2$

Next: AP Calculus AB Limits