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Nilai logaritma dari adalah ….

Nilai logaritma dari $\style{font-size:14px}{\;^\sqrt{\mathrm a}\log\frac1{\mathrm b^2}\;\times\;^{\mathrm c^2}\log\sqrt{\mathrm a^3}\;\times\;^{\mathrm b^3}\log\frac1{\mathrm c^2}}$ adalah ….

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Ingat, Bentuk umum logaritma! sifat-sifat Logaritma:

Ingat, Bentuk umum logaritma!

sifat-sifat Logaritma:

$begin mathsize 14px style a right parenthesis space space to the power of a l o g space a equals 1 b right parenthesis space space to the power of a to the power of n end exponent log invisible function application b to the power of m equals m over n. to the power of a log invisible function application b c right parenthesis space space to the power of a log invisible function application b cross times space to the power of b log invisible function application c cross times space to the power of c log invisible function application d equals space to the power of a log invisible function application d M a k a colon 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 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 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 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 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 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 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 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2 end style$