gd ones !.....

evaluate
0.2^{log_√5(1/4+1/8+........................âˆž)}
√5 is in the base

1 Answers

1057

Ketan Chandak ·2012-02-06 16:49:39

by infinite gp form we know that 14+18+116.... upto âˆž is 141-12 which is equal to 12....

now the question simplifies to 0.2^log_√5(0.5)

now let log_√5(0.5)=x

therefore √5^x=0.5

therefore 5^x=0.25

we have to find 0.2^x=15^x=10.25 = 4

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