Logarithmic Aptitude Question: Find the Value of Y
If logx Y = 100 and log2 X =10, then find the value of Y? A) 2^10 B) 2^100 C) 2^1000 D) 2^10000
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Laws of logarithm:
㏒ b = x means a∧x= b
a
meaning:
logx Y= 100......is = x^100= Y
log2 X = 10 .....is = 2^10 = X
Therefore Y = (2^10)^100....laws of indices (a^x)^y= a^xy
Y= 2^100
Answer is C....2^1000
㏒ b = x means a∧x= b
a
meaning:
logx Y= 100......is = x^100= Y
log2 X = 10 .....is = 2^10 = X
Therefore Y = (2^10)^100....laws of indices (a^x)^y= a^xy
Y= 2^100
Answer is C....2^1000
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