Solving equations of the form a^x = b

Solving equations of the form a^x = b Quiz

Spec 5.3 · Edexcel International A Level Maths: Quiz

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1. Solve $2^x=10$ , giving $x$ to 3 s.f.
- A. $5.00$
- B. $0.301$
- C. $3.32$
- D. $8.00$
2. What is the exact solution of $7^x=3$ ?
- A. $x=\log_73$
- B. $x=\log_37$
- C. $x=\frac73$
- D. $x=\log3-\log7$
3. Using the change of base formula, find $\log_530$ to 3 s.f.
- A. $6.00$
- B. $2.11$
- C. $0.473$
- D. $1.48$
4. Solve $3^{x+1}=50$ , giving $x$ to 3 s.f.
- A. $3.56$
- B. $16.3$
- C. $0.561$
- D. $2.56$
5. Which is a correct first step in solving $2^{3x}=50$ ?
- A. $\log(6x)=\log50$
- B. $3x\log2=\log50$
- C. $3x+\log2=\log50$
- D. $3x\log2=50$