²log8 + ³log9 + ⁴log64 = ....

<p>Halo Fatima. Kakak bantu jawab ya.</p><p>Jawab: 8</p><p>Pembahasan:</p><p>Ingat!</p><ul><li>^alog(a) = 1</li><li>^alog(bⁿ) = n^alog(b)</li></ul><p>Dengan menggunakan konsep di atas, diperoleh</p><p>²log8 + ³log9 + ⁴log64 = ²log(2³) + ³log(3²) + ⁴log(4³)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3²log2 + 2³log3 +3⁴log</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (3×1)+(2×1)+(3×1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3+2+3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 8</p><p>&nbsp;</p><p><strong><u>Jadi, jawaban yang benar adalah 8.</u></strong></p>