Pertanyaan

lo g 2 2 1 lo g 2 5 − lo g 2 2 = …

$\frac{lo g ^{2} 5 - lo g ^{2} 2}{lo g 2 ^{\frac{1}{2}}} = \dots$

log 2
log 5
1

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Ingat! Sifat Logaritma: Maka: Soal Seharusnya Seperti ini:

Ingat!

Sifat Logaritma:
$log presubscript space presuperscript a space b plus log presubscript space presuperscript a space c equals log presubscript space presuperscript a space left parenthesis b. c right parenthesis log presubscript space presuperscript a space b minus log presubscript space presuperscript a space c equals log presubscript space presuperscript a space open parentheses b over c close parentheses a squared minus b squared equals left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis log presubscript space presuperscript space space x equals log presubscript space presuperscript 10 space x log presubscript space presuperscript space space 10 equals 1 fraction numerator log presubscript space presuperscript p space b over denominator log presubscript space presuperscript p space c end fraction equals log presubscript space presuperscript c space b log presubscript space presuperscript a space a equals 1$

Maka:

Soal Seharusnya Seperti ini:

$fraction numerator log squared space 5 minus log squared space 2 over denominator log space 2 1 half end fraction equals fraction numerator open parentheses log space 5 plus log space 2 close parentheses open parentheses log space 5 minus log space 2 close parentheses over denominator log space 2 1 half end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log left parenthesis 5.2 right parenthesis log space open parentheses 5 over 2 close parentheses over denominator log space 5 over 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator log space 10. log space 5 over 2 over denominator log space 5 over 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 1. log space 5 over 2 over denominator log space 5 over 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals log presubscript space presuperscript 5 over 2 end presuperscript space 5 over 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1$