Please solve this

Asked by aastharoy997 | 24th Mar, 2020, 04:18: PM

Expert Answer:

begin mathsize 18px style 81 to the power of fraction numerator 1 over denominator log subscript 5 3 end fraction end exponent plus 9 to the power of log subscript 9 36 end exponent plus 2 to the power of fraction numerator 3 over denominator log subscript 9 4 end fraction end exponent
equals 81 to the power of fraction numerator 1 over denominator log subscript 5 3 end fraction end exponent plus 9 to the power of log subscript 9 36 end exponent plus 2 to the power of fraction numerator 3 over denominator log subscript 9 4 end fraction end exponent
equals 3 to the power of 4 cross times fraction numerator 1 over denominator log subscript 5 3 end fraction end exponent plus 36 plus 2 to the power of fraction numerator 3 over denominator log subscript 9 4 end fraction end exponent..... open square brackets straight a to the power of log subscript straight a straight x end exponent equals straight x close square brackets
equals 3 to the power of 4 cross times log subscript 3 5 end exponent plus 36 plus 2 to the power of 3 cross times fraction numerator log space 9 over denominator log space 4 end fraction..... left square bracket log subscript straight a straight x equals fraction numerator log space straight x over denominator log space straight a end fraction comma space nlog space straight a space equals space log space straight a to the power of straight n space right square bracket end exponent
equals 3 to the power of log subscript 3 5 to the power of 4 end exponent plus 36 plus 2 to the power of 3 cross times fraction numerator log space 9 over denominator log space 2 squared end fraction end exponent
equals 5 to the power of 4 plus 36 plus 2 to the power of 3 over 2 cross times fraction numerator log space 9 over denominator log space 2 end fraction end exponent
equals 5 to the power of 4 plus 36 plus 2 to the power of 3 over 2 cross times log subscript 2 9 end exponent
equals 5 to the power of 4 plus 36 plus 2 to the power of log subscript 2 9 to the power of 3 over 2 end exponent end exponent
equals 5 to the power of 4 plus 36 plus 9 to the power of 3 over 2 end exponent
equals 5 to the power of 4 plus 36 plus open parentheses square root of 9 close parentheses cubed
equals 688
end style

Answered by Arun | 24th Mar, 2020, 05:08: PM

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