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Nilai dari begin mathsize 14px style fraction numerator open parentheses space to the power of a log invisible function application a b close parentheses squared minus open parentheses space to the power of a log invisible function application b close parentheses squared over denominator space to the power of a log invisible function application square root of a b squared end root end fraction equals.... end style

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Ingat, Bentuk umum logaritma! sifat-sifat Logaritma: Maka:

Ingat, Bentuk umum logaritma!

begin mathsize 14px style straight space to the power of straight a log invisible function application straight b equals straight x straight space left right arrow straight a to the power of straight x equals straight b space dimana space straight a comma straight b space greater than space 0 end style

sifat-sifat Logaritma:

begin mathsize 14px style straight a right parenthesis space straight space to the power of straight a log straight space straight a equals 1 straight b right parenthesis space straight space to the power of straight a to the power of straight n end exponent log invisible function application straight b to the power of straight m equals straight m over straight n. to the power of straight a log invisible function application straight b straight c right parenthesis space straight space to the power of straight a log invisible function application straight b equals fraction numerator straight space to the power of straight x log invisible function application straight b over denominator straight space to the power of straight x log invisible function application straight a end fraction straight d right parenthesis space straight space to the power of straight a log invisible function application straight b plus straight space to the power of straight a log invisible function application straight c equals straight space to the power of straight a log invisible function application open parentheses straight b. straight c close parentheses straight e right parenthesis space straight space to the power of straight a log invisible function application straight b minus straight space to the power of straight a log invisible function application straight c equals straight space to the power of straight a log invisible function application open parentheses straight b over straight c close parentheses end style

Maka:

begin mathsize 14px style fraction numerator open parentheses space to the power of a log invisible function application a b close parentheses squared minus open parentheses space to the power of a log invisible function application b close parentheses squared over denominator space to the power of a log invisible function application square root of a b squared end root end fraction equals fraction numerator open parentheses space to the power of a log invisible function application a b plus space to the power of a log invisible function application b close parentheses open parentheses space to the power of a log invisible function application a b minus space to the power of a log invisible function application b close parentheses over denominator space to the power of a log invisible function application open parentheses a b squared close parentheses to the power of 1 half end exponent end fraction 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 fraction numerator open parentheses space to the power of a log invisible function application a b squared close parentheses open parentheses space to the power of a log invisible function application fraction numerator a b over denominator b end fraction close parentheses over denominator space to the power of a log invisible function application open parentheses a b squared close parentheses to the power of 1 half end exponent end fraction 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 fraction numerator open parentheses space to the power of a log invisible function application a b squared close parentheses open parentheses space to the power of a log invisible function application a close parentheses over denominator space to the power of a log invisible function application open parentheses a b squared close parentheses to the power of 1 half end exponent end fraction 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 fraction numerator open parentheses space to the power of a log invisible function application a b squared close parentheses.1 over denominator space to the power of a log invisible function application open parentheses a b squared close parentheses to the power of 1 half end exponent end fraction 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 b squared close parentheses to the power of 1 half end exponent end exponent log invisible function application open parentheses a b squared close parentheses 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 fraction numerator 1 over denominator 1 half end fraction space. space to the power of open parentheses a b squared close parentheses end exponent log invisible function application open parentheses a b squared close parentheses 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 2.1 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

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