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Nilai logaritma dari adalah....

Nilai logaritma dari $\;^\sqrt a\log\frac1{b^2}\;\times\;^{c^2}\log\sqrt{a^3}\;\times\;^{b^3}\log\frac1{c^2}$ adalah....

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N. Ayu

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Mahasiswa/Alumni Universitas Negeri Padang

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

Ingat, Bentuk umum logaritma!

dimana a,b>0

sifat-sifat Logaritma:

Maka:

$space to the power of square root of a end exponent log invisible function application 1 over b squared space cross times space to the power of c squared end exponent log invisible function application square root of a cubed end root space cross times space to the power of b cubed end exponent log invisible function application 1 over c squared equals space to the power of square root of a end exponent log invisible function application 1 over b squared space cross times space to the power of b cubed end exponent log invisible function application 1 over c squared space cross times space to the power of c squared end exponent log invisible function application square root of a cubed end root space equals space to the power of open parentheses a close parentheses to the power of 1 half end exponent end exponent log invisible function application b to the power of negative 2 end exponent space cross times space to the power of b cubed end exponent log invisible function application c to the power of negative 2 end exponent space cross times space to the power of c squared end exponent log invisible function application a to the power of 3 over 2 end exponent space equals open parentheses negative fraction numerator 2 over denominator 1 half end fraction close parentheses. open parentheses negative 2 over 3 close parentheses. open parentheses fraction numerator 3 over 2 over denominator 2 end fraction close parentheses space to the power of a log invisible function application b space cross times space to the power of b log invisible function application c space cross times space to the power of c log invisible function application a space equals open parentheses negative 4 close parentheses open parentheses negative 2 over 3 close parentheses open parentheses 3 over 4 close parentheses space space to the power of a log invisible function application a equals 2$