JAMB Mathematics · Number and Numeration
Indices, Logarithms and Surds: JAMB Mathematics Past Questions and Answers
What the JAMB syllabus covers in Indices, Logarithms and Surds
Our summary: The rules for powers, logarithms and square-root expressions, and how they connect.
- Laws of indices
- Equations involving indices
- Standard form
- Laws of logarithm
- Logarithm of any positive number to a given base
- Change of bases in logarithm and application
- Relationship between indices and logarithm
- Surds
Objectives
- Apply the laws of indices in calculation
- Establish the relationship between indices and logarithms in solving problems
- Solve equations involving indices
- Solve problems in different bases in logarithms
- Simplify and rationalize surds
- Perform basic operations on surds
Syllabus content © The Joint Admissions and Matriculation Board (UTME).
JAMB Mathematics questions on Indices, Logarithms and Surds
- JAMB 2025Find the value of t for which ( 1/2 ) ^ t - 1 = 64
- JAMB 2025Simplify 125 ^ −1/3 × 49 ^ −1/2 × 10 ^0
- JAMB 2025Simplify - log 10 0.00001.
- JAMB 2025Simplify √75 - √12 + √27
- JAMB 2025Express [4] 0.16 in standard form
- JAMB 2024( √a +√8a)^2 = 54 + b √2 , a and b are positive integers. Find the value of a and the value of b.
- JAMB 2024Solve 16 ^x = 0.25
- JAMB 2024Simplify 5 + √7 3 + √7
- JAMB 2023Evaluate: 16 ^ 0.16 × 16 ^ 0.04 × 2 ^ 0.2
- JAMB 2023Express 16.54 x 10 ^ -5 - 6.76 x 10 ^ -8 + 0.23 x 10 ^ -6 in standard form
- JAMB 2023Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5
- JAMB 2023If 3 - 3 2 + 3 = a + b 3 , what are the values a and b?
- JAMB 2023Solve the logarithmic equation: log 2 (6 - x) = 3 - log 2 x
- JAMB 2022Simplify 1/3-√2 in the form of p + q√2
- JAMB 2022Solve for k in the equation 1/8^ k+2 = 1
- JAMB 2021Simplify √27 + 3 √3
- JAMB 2021Simplify 2log 2/5 - log 72/125 + log 9
- JAMB 2021Simplify and express in standard form 0.00275 × 0.00640/0.025 × 0.08
- JAMB 2021Find x if log 9 x = 1.5
- JAMB 2020Find the value of x if √2 x + √2 = 1 x - √2
- JAMB 2020What is the product of 27/5 , (3)^ -3 and ( 1/5)^ -1 ?
- JAMB 2020If log 10 2 = 0.3010 and log 10 3 = 0.4771, eventually without using the logarithm tables, log 10 4.5
- JAMB 2019Evaluate 2 3 9 × 3 81^ -2 5 625
- JAMB 2019Find the value of k in the equation: √28 + √112 - √k = √175
- JAMB 2019If 2 ^ x + y = 16 and 4 ^ x - y = 1/32 , find the values of x and y.
- JAMB 2019Rationalize √2 + √3 √2 - √3
- JAMB 2019Simplify 81 ^ -3/4 x 25 ^ 1/2 x 243 ^ 2/5
- JAMB 2018Evaluate log 2 8 – log 3 1/9
- JAMB 2018Simplify 25 ^ (1/2 × 8 ^ (-2/3
- JAMB 20180.00256 × 0.0064/0.025 × 0.08
- JAMB 2018Simplify 25^ 2/3 ÷ 25^ 1/6 (1/5)^ 7/6 ÷ (1/5)^ 1/6
- JAMB 2018Evaluate (2√3 - 4) (2√3 + 4)
- JAMB 2017Evaluate ( 45º + 30º ) in surd form
- JAMB 2017The value of x + x ( xx) when x = 2 is
- JAMB 2017If 2 √3 - √2 √3 + 2 √2 = m + n √ 6, find the values of m and n respectively
- JAMB 2017Simplify 3 ^ n − 1 × 27^ n + 1 81^n
- JAMB 2017Evaluate 0.00000231/0.007 and leave the answer in standard form
- JAMB 2017Simplify ( [3] 64a^3 )^ -1
- JAMB 2017Simplify 4 √27 + 5 √12 − 3 √75
- JAMB 2016Evaluate 27^1/3 - 8^2/3 16^2/4 × 2
- JAMB 2016Simplify 0.026 × 0.36/0.69 . Leave your answer in standard form
- JAMB 2016Rationalize √6 - √4 √6 + √4
- JAMB 2015Evaluate log717
- JAMB 2015Simplify √30 × √40
- JAMB 2015If log520 = x, find x
- JAMB 2015Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0
- JAMB 2015Find the value of x if [ 1 ÷ 64^ (x + 2) ]= [4^ (x − 3) ÷ 16^x ]
- JAMB 2015Simplify log101.5 + 3 log102 − log100.3
- JAMB 2015Solve the equation 5^ (x − 2) = (1 ÷ 125)^ (x +3)
- JAMB 2015Evaluate log5( y^2x^5 ÷ 125b½)
These are the most recent ones. There are more questions on this topic in the DeeepSolve question bank.
Years with Indices, Logarithms and Surds questions in DeeepSolve's question bank
From the past questions DeeepSolve holds, not a count of everything the exam body has set.
- 2025
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