Logarithms and their laws

Logarithms and their laws Quiz

Spec 6.3–4 · Edexcel A-Level Maths: Quiz

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5 questions, one answer each

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1. Find $\log_264$ .
- A. $6$
- B. $32$
- C. $8$
- D. $128$
2. Simplify $\ln\left(e^3\right)$ .
- A. $e^3$
- B. $\frac13$
- C. $3$
- D. $3e$
3. Solve $e^{2x}=5$ .
- A. $\ln5$
- B. $\frac12\ln5$
- C. $\frac52$
- D. $2\ln5$
4. Evaluate $\log_{10}4+\log_{10}25$ .
- A. $\log_{10}29$
- B. $100$
- C. $1$
- D. $2$
5. Write $3\log_a2-\log_a4$ as a single logarithm.
- A. $\log_a8$
- B. $\log_a4$
- C. $\log_a2$
- D. $\log_a6$