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4 log base 3 of 1/3 + 2log base 27 of 9
..
4 log base 3 of 1/3
=log3(1/3)^4
=log3(1/81)
=log3(1/3)^4)
=log3(1/3)^3)*(1/3)
=log3[(3^-3)*(3^-1)]
=log3(3^-3)+log3(3^-1)
log of base raised to a power=power
=-3-1=-4
..
2log base 27 of 9
=log27(9^2)
=log27(81)
=log27(3^3)+log27(3^1)
=log27(27)+log27(3)
=1+1/3
=4/3
..
4 log base 3 of 1/3 + 2log base 27 of 9=-4+4/3=-12/3+4/3=-8/3
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