Logarithms and their laws

Logarithms and their laws Quiz

Spec F3–F4 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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1. Simplify $\log_212-\log_23$ .
- A. $\log_29$
- B. $1$
- C. $2$
- D. $4$
2. Write $2\ln5+\ln4$ as a single logarithm.
- A. $\ln20$
- B. $\ln100$
- C. $\ln14$
- D. $\ln40$
3. Simplify $\log_a\dfrac{1}{\sqrt x}$ .
- A. $-\frac12\log_ax$
- B. $\frac12\log_ax$
- C. $-2\log_ax$
- D. $\log_a(-\sqrt x)$
4. Solve $\ln x=3$ .
- A. $3e$
- B. $\ln3$
- C. $3^e$
- D. $e^3$
5. Given $\log_{10}x=-2$ , find $x$ .
- A. $-20$
- B. $-100$
- C. $0.01$
- D. $100$