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Logarithm Questions

Home > Quantitative Aptitude > Logarithm > General Questions
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Choose the correct option.

If log 125 + log 8 = x, then x is equal to


A3-Jan

B2

C0.064

D3

Answer: Option D

Explanation:

log 125 + log 8 = log (125 * 8)
=> log (1000) = log (10^3)
=> 3 log 10 = 3

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Choose the correct option.

If log5 + log(5x+1) = log(x+5) + 1, then x is equal to


A1

B3

C5

D10

Answer: Option B

Explanation:

If log5   log(5x 1) = log(x 5)   1

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Choose the correct option.

If log 0.318=0.3364 and log 0.317=0.33320 then log 0.319 =?


A0.33365

B0.3368

C0.3396

D0.3369

Answer: Option C

Explanation:

log 0.319=log0.318+(log0.318-log0.317) = 0.3396

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Choose the correct option.

If log(base 10) 5 + log(base 10)(5x + 1) = log(base 10)(x + 5) + 1, then x is equal to:


A9

B3

C1

D4

Answer: Option B

Explanation:

Given log(base 10) 5 + log(base 10)(5x + 1) = log(base 10)(x + 5) + 1
=> log(base 10) 5 + log(base 10)(5x + 1) = log(base 10)(x + 5) + log(base 10) 10
Hint: log (base Z)Z = 1
=> log(base 10)[5 (5x + 1)] = log(base 10) [10(x + 5)] ------ (Point to Remember.)
=> 5(5x + 1) = 10(x + 5)
=> 5x + 1 = 2x + 10
=> x = 3

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Choose the correct option.

if x ls a real number such that log3(5)= log5(2+x), then which of the following ls true?


A0 < x < 3

B23 < x <30

Cx > 30

D3 < x < 23

Answer: Option D

Explanation:

Here is no explanation for this answer

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Choose the correct option.

If logx (9/16) = -1/2 , then x is equal to:


A-3/4

B3/4

C81/256

D256/81

ENone of these

Answer: Option D

Explanation:

logx (9/16) = -1/2

=> x-1/2 = 9/16
=> 1/√x = 9/16
=> √x = 16/9
=> x = (16/9)2
=> x = 256/81

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Choose the correct option.

If ( log 5 5) (log 4 9) (log 3 2) is equal to


A2

B1

C3

D4

Answer: Option B

Explanation:

Here is no explanation for this answer

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