tolong selesaikan soal tersebut..........
pembahasan :
1. ²log24 + ²log6 + ²log 1/9 =
²log(24×6×1/9) =
²log16 =
4
2. ⁵log75 - ⁵log24 + ⁵log8 =
⁵log (75/24 × 8) =
⁵log 25 =
2
3. ³log108 - ³log4 =
³log 108/4 =
³log 27 =
3
4. ⁵log25 + ⁵log10 - ⁵log2 =
⁵log (25×10/2) =
⁵log 125 =
3
5. (²log7 + ⁵log7)(⁷log25) ÷ (²log7 × ⁷log10) =
(²log7.⁷log25 + ⁵log7.⁷log25)÷(²log10) =
(²log25 + ⁵log25)÷²log10 =
²log25÷²log10 + 2÷²log10=
(log25 ÷ log10) + (²log4 ÷ ²log10) =
¹⁰log25 + ¹⁰log4 =
¹⁰log100 =
2
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