Logs of sequence!

Algebra Level pending

For positive a , b ≠ 1 a,b\ne 1 , given that log ⁡ b b b b a a a a a = x log ⁡ b a \large \log_{\sqrt {b \sqrt {b \sqrt{b \sqrt b}}}} \sqrt{a \sqrt{a \sqrt{a \sqrt{a \sqrt a}}}} = x \log_b a , find x x .

31 15 \frac{31}{15} 1 2 \frac12 31 16 \frac{31}{16} 31 30 \frac{31}{30}

Prasath M by Prasath M , 20, India

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1 solution

Aswin T.S.
Feb 5, 2016

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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