LoGaritma
Penjelasan dengan langkah-langkah:
Diketahui ⁴log 6 = a. Nilai ³log 8 =
⁴log 6 = a.
cara I
⁴log 6 = a
[tex]\sf \dfrac{^3log 6}{^3log 4} = a[/tex]
[tex]\sf \dfrac{^3log 3+ ^3log2}{^3log 2^2} = a[/tex]
[tex]\sf \dfrac{1+ ^3log2}{2. ^3log 2} = a[/tex]
1+ ³log2 = 2a .³log 2
2a, ³log 2 - ³log 2 = 1
(2a- 1) ³log 2 = 1
[tex]\sf ^3log2 = \frac{1}{2a- 1}[/tex]
[tex]\sf ^3log8=^3log2^3 = 3 . ^3log 2= \frac{3}{2a- 1}[/tex]
cara lainnya
⁴log 6 = a
[tex]\sf ^{2^2}log 2+^{2^2}log 3 = a[/tex]
[tex]\sf \frac{1}{2}^2log2 + \frac{1}{2}^2log 3 = a[/tex]
[tex]\sf \frac{1}{2}(1)+ \frac{1}{2}^2log 3 = a[/tex]
[tex]\sf \frac{1}{2}^2log 3 = a- \frac{1}{2}[/tex]
[tex]\sf ^2log 3 = 2a- 1[/tex]
[tex]\sf ^3 log 8 = ^3log 2^3 = 3. ^3log 2[/tex]
[tex]\sf ^3log 8 = 3 \times \frac{1}{^2log 3}[/tex]
[tex]\sf ^3log 8 = \frac{3}{2a -1}[/tex]
[answer.2.content]
