Question 1
What is the sum of ‘n’ terms in the series log m + log (m²/n) + log (m³/n²) + log (m⁴/n³) + …? (CAT 2002)
(a) log [nn−1/mn+1]n/2
(b) log [mn/nn]n/2
(b) log [mn/nn]n/2
(c) log [m1−n/n1−m]n/2
(d) log [mn+1/nn−1]n/2
- Normal practice
- Lessons
- Free
- Quant - Algebra
Logarithm Level - 4
50 questions. Choose an option and see at once whether it was right, with the correct answer and a worked solution. No timer, and nothing to submit.
0 of 50 answered
0 correct0 wrong
(c) log [m1−n/n1−m]n/2
(d) log [mn+1/nn−1]n/2Question 2
If logᵧx = (a . logz y) = (b . logₓ z) = ab, then which of the following pairs of values for (a, b) is not possible? (CAT 2006)
Question 3
If x is real number such that log₃5 = log₅(2 + x), then which of the following is true? (CAT 2017)
Question 4
If log(2ᵃ * 3ᵇ * 5ᶜ) is the arithmetic mean of log(2² * 3³ * 5), log(2⁶ * 3 * 5⁷), and log (2 * 3² * 5⁴), then a equals (CAT 2017)
Question 5
Suppose, log₃x = log₁₂y = a, where x, y are positive numbers. If G is the geometric mean of x and y, then log₆G is equal to (CAT 2017)
Question 6
The value of log₀.₀₀₈ √5 + log√3 81 – 7 is equal to (CAT 2017)
Question 7
If 9²ˣ⁻¹ – 81ˣ⁻¹ = 1944, then x is? (CAT 2017)
Question 8
If log₂x · logx/642 = logx/162. Then x is (IIFT 2008)
Question 9
What is the value of √(a/b), if log₄log₄ 4ᵃ⁻ᵇ = 2log₄ (√a–√b) + 1 (IIFT 2010)
Question 10
log₅2 is (IIFT 2010)