Jawaban:
1. 2
2. 2
3. 10
4. -3/2
Penjelasan dengan langkah-langkah:
1.
⁸log 4 + ⁸log 16
= ⁸log(4 × 16)
= ⁸log 64
= ⁸log 8²
= 2
2.
⁶log 18- ⁶log 2+ ⁶log 4
= ⁶log(18 ÷ 2 × 4)
= ⁶log (9 × 4)
= ⁶log 36
= ⁶log 6²
= 2
3.
[tex] \frac{ {}^{4} log(81) }{ {}^{4} log(3) } \\ = { }^{3} log(81) \\ = 4[/tex]
lalu kita jumlahkan:
[tex]4 + {}^{ \sqrt{2} } log(8) \\ {}^{ \sqrt{2} } log(4) + {}^{ \sqrt{2} } log(8) \\ = {}^{ \sqrt{2} } log(4 \times 8) \\ = {}^{ \sqrt{2} } log(32) \\ = {}^{ {2}^{ \frac{1}{2} } } log( {2}^{5} ) \\ = \frac{5}{ \frac{1}{2} } = 10[/tex]
4.
[tex] \frac{ {}^{3} log(8) }{1 - {}^{3} log(12) } \\ = \frac{ {}^{3} log(8) }{ {}^{3} log(3) - {}^{3} log(12) } \\ = \frac{ {}^{3} log(8) }{ {}^{3} log( \frac{1}{4} ) } \\ = {}^{ \frac{1}{4} } log(8) \\ = {}^{ {2}^{ - 2} } log( {2}^{3} ) \\ = \frac{3}{ - 2} = - \frac{3}{2} [/tex]
