Pertanyaan

Diketahui a = 3 lo g 6 − 3 lo g 2 − 2 × 9 lo g 6 dan . Nilai b a = ...

Diketahui $a =^{3} lo g 6 -^{3} lo g 2 - 2 \times^{9} lo g 6$ dan $b equals log presuperscript 3 space 2 square root of 2 plus fraction numerator 1 over denominator log presuperscript 4 space 9 end fraction minus fraction numerator log presuperscript 6 space 8 over denominator log presuperscript square root of 6 end presuperscript space 3 end fraction$ . Nilai $\frac{a}{b} = ...$

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Jawaban terverifikasi

Jawaban

nilai b a = 1 .

nilai

\frac{a}{b} = 1

Pembahasan

Menentukan nilai a = = = = = = = ( 3 lo g 6 − 3 lo g 2 ) − 2 × 9 lo g 6 ( 3 lo g 2 6 ) − ( 3 2 lo g 6 2 ) 3 lo g 3 − ( 2 2 × 3 lo g 6 ) 1 − ( 1 × 3 lo g ( 3 × 2 ) ) 1 − ( 3 lo g 3 + 3 lo g 2 ) 1 − ( 1 + 3 lo g 2 ) 3 lo g 2 Menentukan nilai b Nilai b a = 3 lo g 2 3 lo g 2 = 1 . Dengan demikian, nilai b a = 1 .

Menentukan nilai $a$

$a = = = = = = = (^{3} lo g 6 -^{3} lo g 2) - 2 \times^{9} lo g 6 (^{3} lo g \frac{6}{2}) - (^{3^{2}} lo g 6^{2})^{3} lo g 3 - (\frac{2}{2} \times^{3} lo g 6) 1 - (1 \times^{3} lo g (3 \times 2)) 1 - (^{3} lo g 3 +^{3} lo g 2) 1 - (1 +^{3} lo g 2)^{3} lo g 2$

Menentukan nilai $b$

$table attributes columnalign right center left columnspacing 0px end attributes row b equals cell open parentheses log presuperscript 3 space 2 square root of 2 close parentheses plus open parentheses fraction numerator 1 over denominator log presuperscript 4 space 9 end fraction close parentheses minus open parentheses fraction numerator log presuperscript 6 space 8 over denominator log presuperscript square root of 6 end presuperscript space 3 end fraction close parentheses end cell row blank equals cell open parentheses log presuperscript 3 space square root of 4 cross times 2 end root close parentheses plus log presuperscript 9 space 4 minus open parentheses log presuperscript 6 space 8 cross times log presuperscript 3 space square root of 6 close parentheses end cell row blank equals cell open parentheses log presuperscript 3 space square root of 2 cubed end root close parentheses plus log presuperscript 3 squared end presuperscript space 2 squared minus open parentheses log presuperscript 6 space 2 cubed cross times log presuperscript 3 space 6 to the power of 1 half end exponent close parentheses end cell row blank equals cell open parentheses log presuperscript 3 space 2 to the power of 3 over 2 end exponent close parentheses plus open parentheses 2 over 2 cross times log presuperscript 3 space 2 close parentheses minus open parentheses 3 cross times 1 half open parentheses log presuperscript 6 space 2 cross times log presuperscript 3 space 6 close parentheses close parentheses end cell row blank equals cell open parentheses 3 over 2 cross times log presuperscript 3 space 2 close parentheses plus log presuperscript 3 space 2 minus 3 over 2 open parentheses fraction numerator log presuperscript 6 space 2 over denominator log presuperscript 6 space 3 end fraction close parentheses end cell row blank equals cell 3 over 2 open parentheses log presuperscript 3 space 2 close parentheses plus log presuperscript 3 space 2 minus 3 over 2 open parentheses log presuperscript 3 space 2 close parentheses end cell row blank equals cell log presuperscript 3 space 2 end cell end table$

Nilai $\frac{a}{b} = \frac{^{3} lo g 2}{^{3} lo g 2} = 1$ .