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Found 460 Questions in Mathematics
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Mathematics Logarithm Advance Logarithm Questions Q. #581 (CAT-I)
4^{log₂ x} = 9 হলে x এর মান কত?
A. 2
B. 9
C. log 3
D. 3
Correct Answer: Option D
Option D is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #580 (CAT-I)
যদি x = logₐ(bc), y = log_b(ca), z = log_c(ab) হয়, তবে 1/(x+1) + 1/(y+1) + 1/(z+1) এর মান কত?
A. 0
B. 2
C. 1
D. 3
Correct Answer: Option C
Option C is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #579 (CAT-I)
যদি log₁₀ 2 = a এবং log₁₀ 3 = b হয়, তবে log₅ 12 এর মান কত?
A. (a+b)/(1-a)
B. (2a+b)/(1-a)
C. (a+2b)/(1-b)
D. (2a+b)/a
Correct Answer: Option B
Option B is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #578 (CAT-I)
log₃ x + log₉ x + log₂₇ x = 11/2 হলে x এর মান কত?
A. 27
B. 9
C. 81
D. 3
Correct Answer: Option A
Option A is the correct answer according to official curriculum guidelines.

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Mathematics Logarithm Advance Logarithm Questions Q. #577 (CAT-I)
log₂ x + log₄ x + log₁₆ x = 7/4 হলে x এর মান কত?
A. 4
B. 8
C. 16
D. 2
Correct Answer: Option D
Option D is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #576 (CAT-I)
যদি log₅ (x² + x) - log₅ (x + 1) = 2 হয়, তবে x এর মান কত?
A. 5
B. 10
C. 25
D. 30
Correct Answer: Option C
Option C is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #575 (CAT-I)
যদি a = log₂₄ 12, b = log₃₆ 24 এবং c = log₄₈ 36 হয়, তবে 1 + abc এর মান কত?
A. abc
B. 2bc
C. 2ab
D. 2ac
Correct Answer: Option B
Option B is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #574 (CAT-I)
1/(1+logₐ bc) + 1/(1+log_b ca) + 1/(1+log_c ab) এর মান কত?
A. 1
B. 0
C. abc
D. log(abc)
Correct Answer: Option A
Option A is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #573 (CAT-I)
2 log₁₀ 5 + log₁₀ 8 - 1/2 log₁₀ 4 এর মান কত?
A. 0
B. 1
C. 3
D. 2
Correct Answer: Option D
Option D is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #572 (CAT-I)
logₓ 2 + logₓ 4 + logₓ 8 = 6 সমীকরণে x এর মান কত?
A. √2
B. 4
C. 2
D. 8
Correct Answer: Option C
Option C is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #571 (CAT-I)
যদি log₃ 2, log₃(2ˣ - 5) এবং log₃(2ˣ - 7/2) সমান্তর প্রগতিতে (AP) থাকে, তবে x এর মান কত?
A. 2
B. 3
C. 4
D. 5
Correct Answer: Option B
Option B is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #570 (CAT-I)
যদি a² + b² = 7ab হয়, তবে log[(a+b)/3] এর মান কোনটি?
A. 1/2(log a + log b)
B. log a + log b
C. 1/2(log a - log b)
D. 2(log a + log b)
Correct Answer: Option A
Option A is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #569 (CAT-I)
log₁₀ (x-15) + log₁₀ 10 = 4 হলে x এর মান কত?
A. 115
B. 985
C. 1000
D. 1015
Correct Answer: Option D
Option D is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #568 (CAT-I)
যদি (log x) / (b-c) = (log y) / (c-a) = (log z) / (a-b) হয়, তবে xᵃ yᵇ zᶜ এর মান কত?
A. 0
B. -1
C. 1
D. xyz
Correct Answer: Option C
Option C is the correct answer according to official curriculum guidelines.
Mathematics Logarithm Advance Logarithm Questions Q. #567 (CAT-I)
log₂ 10 - log₈ 125 এর সরলতম মান কত?
A. 0
B. 1
C. log₂ 5
D. 2
Correct Answer: Option B
Option B is the correct answer according to official curriculum guidelines.