Write following in terms of simpler logarithms, Mathematics

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Write following in terms of simpler logarithms.

(a) log₃ (9 x⁴ / √y)

Solution

log₃ (9 x⁴/ √y) =log ₃ 9x⁴ - log y ^(1/2)

=log ₃ 9 + log ₃ x⁴ - log y ^(1/2)

= 2 + 4 log3x -( ½) log y

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