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Logaritma
Matematika X

[1] ³log 81 + ²log ¹/₃₂ - ⁵log 5√5

= ³log 3⁴ + ²log 2⁻⁵ - ⁵log 5^(³/₂)

= 4 + (-5) - ³/₂

= - ⁵/₂
 
[2] ³log √3  + 2 ³log ¹/₃ + ³log 27

= ³log 3^(¹/₂) + 2 ³log 3⁻¹ + ³log 3³

= ¹/₂ - 2 + 3

= ³/₂

[3] ³log 54 - ³log 2 + ⁵log 50 - ⁵log 2

= ³log ⁵⁴/₂ + ⁵log ⁵⁰/₂

= ³log 27 + ⁵log 25

= ³log 3³ + ⁵log 5²

= 3 + 2

= 5