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Mathematics Logarithm Advance Logarithm Questions Q. #586 (CAT-I)

যদি log₁₀ [log₁₀ (log₁₀ x)] = 0 হয়, তবে x এর মান কত?

A. 10¹⁰

B. 100

C. 10

D. 1000

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Correct Answer: Option A

Option A is the correct answer according to official curriculum guidelines.

Mathematics Logarithm Advance Logarithm Questions Q. #585 (CAT-I)

log_e x + log_e (1+x) = 0 সমীকরণটির সমাধান কোনটি?

A. x = 1

B. x = (-1-√5)/2

C. x = √5

D. x = (-1+√5)/2

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Correct Answer: Option D

Option D is the correct answer according to official curriculum guidelines.

Mathematics Logarithm Advance Logarithm Questions Q. #584 (CAT-I)

logₐ b ⋅ log_b c ⋅ log_c a এর মান কত?

A. 0

B. abc

C. 1

D. log(abc)

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Correct Answer: Option C

Option C is the correct answer according to official curriculum guidelines.

Mathematics Logarithm Advance Logarithm Questions Q. #583 (CAT-I)

যদি log₂ x + log₈ x + log₃₂ x = 23/15 হয়, তবে x এর মান কত?

A. 4

B. 2

C. 8

D. 16

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Correct Answer: Option B

Option B is the correct answer according to official curriculum guidelines.

Mathematics Logarithm Advance Logarithm Questions Q. #582 (CAT-I)

log_√3 x = 4 হলে x এর মান কত হবে?

A. 9

B. 3

C. 27

D. 81

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Correct Answer: Option A

Option A is the correct answer according to official curriculum guidelines.

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

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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

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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

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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

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Correct Answer: Option A

Option A is the correct answer according to official curriculum guidelines.

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

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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

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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

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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)

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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

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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

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Correct Answer: Option C

Option C is the correct answer according to official curriculum guidelines.