sederhanakanlah bentuk-bentuk berikut!
³log7ײ⁵log32×⁴⁹log81
³log7ײ⁵log32×⁴⁹log81
Jawab:
[tex]\sf ^3log 7 \times ^{2^5}log 32\times ^{49}log 81[/tex]
[tex]\sf = ^3log 7 \times ^{2^5}log 2^5\times ^{7^2}log 3^4[/tex]
[tex]\sf = ^3log 7 \times \frac{5}{5}. ^{2}log 2\times \frac{4}{2} . ^{7}log 3[/tex]
[tex]\sf = ^3log 7 \times1\times 2. ^{7}log 3[/tex]
[tex]\sf = 2 \times ^3log 7 \times ^{7}log 3[/tex]
[tex]\sf = 2 \times ^3log 3[/tex]
= 2 (1)
= 2
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