Logarithm
- The mantissa of log 3274 is 0.5150, then the value of log 32.74 is ?
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Since, 0.3274 gives characteristic 1. Therefore value of log (0.3274) = 1.5150
Correct Option: A
Since, 0.3274 gives characteristic 1. Therefore value of log (0.3274) = 1.5150
- If log a, log b, log c are in A.P. then ?
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∵ loga, logb, logc are in A.P. Then,
⇒ logb - loga = logc - logbCorrect Option: A
∵ loga, logb, logc are in A.P. Then,
⇒ logb - loga = logc - logb
⇒ log b/a = log c/b
⇒ b/a = c/b
⇒ b2 = ac
∴ a, b, c are in G.P.
- If log5 (x2 + x) - log5 x = 2 then the value of x is ?
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∵ log5(x2 + x / x) = 2
⇒ log10(x + 1) = 2
Correct Option: A
∵ log5[(x2 + x ) / x] = 2
⇒ log10(x + 1) = 2
⇒ x + 1 = 25
∴ x = 24
- The compound interest on Rs. 12,000 for 10 years at the rate of 12% per annum compounded annually is ?
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∵ A = 12,000(1 + 12/100)10
= 12000(28/25)10
⇒ log A = log 12000 + 10[log 28 - log 25]
⇒ log A = 4.0792 + 10(1.4472 - 1.3979)
= 4.0792 + 0.493
Correct Option: A
∵ A = 12,000(1 + 12/100)10
= 12000(28/25)10
⇒ log A = log 12000 + 10[log 28 - log 25]
⇒ log A = 4.0792 + 10(1.4472 - 1.3979)
= 4.0792 + 0.493
= 4.5722
∴ A = antilog 4.5722 = 37342
C.I. = 37342 - 12000 = 25342
=25350
- (log tan1°. log tan2° ............. log tan50°) is ?
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∵ log tan 45 = log 1 = 0
Correct Option: A
∵ log tan 45 = log 1 = 0
Hence, Whole Expression = (something) x zero