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1) ³log 45 - ³ log 25 + 9log 75
= ³log 9.5 - ³log 5^2 + 3^2 log 25.3
= ³log 9 + ³log 5 - 2 ³log 5 + 3^2 log 5^2 + 3^3 log 3
= ³log 3^2 + ³log 5 - 2 ³log 5 + (2/2) ³log 5 + (1/2) ³log 3
= 2 ³log 3 + ³log 5 - 2 ³log5 + (2/2) ³log 5 + (1/2) ³log 3
= 2 + (1-2+1) ³log 5 + (1/2)
= 2 + 1/2
= 5/2
3) ²log 64 + ³log 1/27 - 5 log 5 sqr 5
= ² log 2^6 + ³log 27^-1 - 5log5.5^1/2
= 6 ²log 2 + (-1) ³log 3^3 - 5log5 + 5log 5^1/2
= 6 + (-3) - 1 + 1/2
= 5/2
6) x1 + x2 = -b:a = -60 : 2 = -30
x1 - x2 = (sqr D)/a
D = b^2 - 4ac = (60)^2 - 4(2)(-20)
= 3600 - (-160) = 3760
x1-x2 = (sqr 3760)/2
x1^2 - x2^2 = (x1+x2)(x1-x2)
= (-30) ((sqr 3760)/2)
= -60 sqr 3760
8) cos x = 1/2 sqrt 2
x = 45 derajat
10) v.kerucut = 1/3 . phi.r^2 . tinggi
= 1/3. (3,14) (1)^2 . 10 cm
= 1/3. 3,14. 10 cm
= 10,47