Logarithm
 The value of log_{6} log_{5} 15625 is ?

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log_{6} log_{5}15625 = log_{6} log_{5}(5)^{6}
Correct Option: A
log_{6} log_{5}15625 = log_{6} log_{5}(5)^{6}
= log_{6}6(log_{5}5) = 1
 The value of log_{10} 0.000001 is ?

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Exp. = log_{10} 10^{6} = 6
Correct Option: B
Exp. = log_{10} 10^{6} = 6
 The value of log_{10} (0.00001) is ?

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Exp. = log_{10} 10^{5} = 5
Correct Option: A
Exp. = log_{10} 10^{5} = 5
 The value of 25 log_{5} 4 is ?

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Exp. = 25 log_{5}4 = 5^{2} log_{5}4
= 5 log_{5} 4^{2}Correct Option: A
Exp. = 25 log_{5}4 = 5^{2} log_{5}4
= 5 log_{5} 4^{2}
= 16
 If log_{10000}x = 1/4, then x is ?

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∵ log_{10}^{4}x = 1/4
⇒ x = (10^{4})^{1/4}
= 1/10Correct Option: B
∵ log_{10}^{4}x = 1/4
⇒ x = (10^{4})^{1/4}
= 1/10