Exponential and logarithmic equations

Exponential and logarithmic equations Quiz

Spec 6.5 · Edexcel A-Level Maths: Quiz

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  1. 1. Solve 7x=207^{x}=20, giving xx to 3 significant figures.

    • A. 2.862.86
    • B. 0.6490.649
    • C. 1.541.54
    • D. 2.002.00

  2. 2. Which is the exact solution of 2x+3=52^{x+3}=5?

    • A. ln⁡5ln⁡2−3\frac{\ln5}{\ln2}-3
    • B. ln⁡5ln⁡2+3\frac{\ln5}{\ln2}+3
    • C. ln⁡5−3ln⁡2\frac{\ln5-3}{\ln2}
    • D. ln⁡2ln⁡5−3\frac{\ln2}{\ln5}-3

  3. 3. Which expression is equal to log⁡320\log_{3}20?

    • A. log⁡103log⁡1020\frac{\log_{10}3}{\log_{10}20}
    • B. log⁡1020−log⁡103\log_{10}20-\log_{10}3
    • C. 203\frac{20}{3}
    • D. log⁡1020log⁡103\frac{\log_{10}20}{\log_{10}3}

  4. 4. Solve 32x=153^{2x}=15, giving xx to 3 significant figures.

    • A. 1.231.23
    • B. 2.462.46
    • C. 2.712.71
    • D. 0.8110.811

  5. 5. Solve 4x=0.34^{x}=0.3, giving xx to 3 significant figures.

    • A. 0.8680.868
    • B. −1.15-1.15
    • C. −0.868-0.868
    • D. There is no solution

Quiz