JAMB Mathematics questions: Indices, logarithms and surds

30 questions with answers and explanations. Tap an option to check yourself.

1. Question 21· Indices, logarithms and surds· JAMB

   Solve log₃ (x − 1) = 2.

   • A7
   • B9
   • C8
   • D10

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2. Question 22· Indices, logarithms and surds· JAMB

   Evaluate log₃ 81.

   • A4
   • B3
   • C27
   • D9

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3. Question 23· Indices, logarithms and surds· JAMB

   Given that log₁₀ 2 = 0.3010, find log₁₀ 0.2.

   • A0.0301
   • B−0.6990
   • C−0.3010
   • D1.3010

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4. Question 24· Indices, logarithms and surds· JAMB

   Simplify (√3 + √2)(√3 − √2).

   • A√6
   • B5
   • C1
   • D−1

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5. Question 25· Indices, logarithms and surds· JAMB

   Solve for x: 3^(2x) = 81.

   • A1
   • B2
   • C3
   • D4

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6. Question 26· Indices, logarithms and surds· JAMB

   Solve 2^(2x) − 6(2^x) + 8 = 0.

   • Ax = 1 or x = 3
   • Bx = 2 or x = 4
   • Cx = 1 or x = 2
   • Dx = 0 or x = 2

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7. Question 27· Indices, logarithms and surds· JAMB

   Rationalise the denominator of 1/(√3 − 1).

   • A(√3 + 1)/2
   • B(√3 − 1)/2
   • C√3 + 1
   • D(√3 + 1)/4

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8. Question 28· Indices, logarithms and surds· JAMB

   Solve 9^x = 27.

   • A1/3
   • B2/3
   • C3
   • D3/2

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9. Question 29· Indices, logarithms and surds· JAMB

   Simplify 2 log₁₀ 5 + log₁₀ 4.

   • A2
   • B1
   • Clog₁₀ 29
   • D10

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10. Question 30· Indices, logarithms and surds· JAMB

    Solve 4^x − 3(2^x) + 2 = 0.

    • Ax = 0 or 2
    • Bx = 1 or 2
    • Cx = 0 or 1
    • Dx = 1 only

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    Explanation and discussion