Pertanyaan

Nilai dari lo g 3 a − 6 a 2 lo g 10 1 + 2 a lo g 10 1 adalah.....

Nilai dari $lo g 3 a - \frac{1}{^{6 a^{2}} lo g 10} + \frac{1}{^{2 a} lo g 10}$ adalah.....

-2
-1
0
1

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E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Pembahasan

Ingat, Bentuk umum logaritma! dimana a,b>0 sifat-sifat Logaritma: Maka:

Ingat, Bentuk umum logaritma!

dimana a,b>0

sifat-sifat Logaritma:

$a right parenthesis space to the power of a l o g space 1 equals 0 b right parenthesis space to the power of a log invisible function application b equals fraction numerator 1 over denominator space to the power of b log invisible function application a end fraction c right parenthesis space to the power of a log invisible function application b plus space to the power of a log invisible function application c equals space to the power of a log invisible function application open parentheses b. c close parentheses d right parenthesis space to the power of a log invisible function application b minus space to the power of a log invisible function application c equals space to the power of a log invisible function application open parentheses b over c close parentheses$

Maka:

$log invisible function application 3 a minus fraction numerator 1 over denominator space to the power of 6 a squared end exponent log invisible function application 10 end fraction plus fraction numerator 1 over denominator space to the power of 2 a end exponent log invisible function application 10 end fraction equals space to the power of 10 log invisible function application 3 a minus space to the power of 10 log invisible function application 6 a squared plus space to the power of 10 log invisible function application 2 a equals space to the power of 10 log invisible function application open parentheses fraction numerator 3 a.2 a over denominator 6 a squared end fraction close parentheses equals space to the power of 10 log invisible function application open parentheses fraction numerator 6 a squared over denominator 6 a squared end fraction close parentheses equals space to the power of 10 log invisible function application 1 equals 0$