Diketahui: a = ³log11 b = ¹¹log2 Ditanya: Hasil dari ⁶log44 adalah... a. 2b + 1/a + 1 b. b+ 1/2a + 1 c. 2ab + a/ab + 1 d. 2ab + a/ab + b e. ab + 2a/ab + 1

<p>pakai sifat dari logaritma.</p><p>^alog bc = ^alog b + ^alog c</p><p>^alog b = ^plog b</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; --------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;^plog a</p><p><strong>Diketahui:</strong></p><p>a = ³log 11</p><p>b = ¹¹log 2</p><p>&nbsp;</p><p>⁶log 44 = &nbsp;¹¹log 44</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;¹¹log 6</p><p>⁶log 44 = &nbsp;¹¹log 2 × 2 × 11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; --------------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;¹¹log 2 × 3</p><p>⁶log 44 = &nbsp;¹¹log 2 + ¹¹log 2 + ¹¹log 11</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ----------------------------------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;¹¹log 2 + ¹¹log 3</p><p>⁶log 44 = &nbsp;b + b + 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; -----------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; b + ¹/a</p><p>⁶log 44 = &nbsp;2b + 1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ---------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;^{ab + 1}/a</p><p>⁶log 44 = &nbsp;2ab + a</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ---------</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ab + 1</p><p>Pilihan jawaban = c</p><p>semoga membantu.</p>