Logarithm
- The value of log6 log5 15625 is ?
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log6 log515625 = log6 log5(5)6
Correct Option: A
log6 log515625 = log6 log5(5)6
= log66(log55) = 1
- If log10000x = -1/4, then x is ?
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∵ log104x = -1/4
⇒ x = (104)-1/4
= 1/10Correct Option: B
∵ log104x = -1/4
⇒ x = (104)-1/4
= 1/10
- logx (16/25) = -1/2, then x is ?
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∵ logx(16/25) = -1/2
⇒ 16/25 = (x)-1/2 = 1/x1/2
Correct Option: A
∵ logx(16/25) = -1/2
⇒ 16/25 = (x)-1/2 = 1/x1/2
∴ x = 625/256
- The value of log2 (1/64) is ?
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log2(1/64) = log21 - log2 26
Correct Option: B
log2(1/64) = log21 - log2 26
= 0 - 6 = -6
- If loga 3 = 1/3, then value of a is ?
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∵ loga3 = 1/3
⇒ 3 = (a)1/3Correct Option: A
∵ loga3 = 1/3
⇒ 3 = (a)1/3
∴ a = 27