Matematika Sekolah Menengah Atas tolong selesaikan soal tersebut..........​

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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