Pertanyaan

Jika b lo g a = x , maka ab lo g a = ....

Jika $^{b} lo g a = x, maka^{ab} lo g a = ....$

$fraction numerator x over denominator x minus 1 end fraction$
$fraction numerator x minus 1 over denominator x end fraction space$
$fraction numerator x over denominator x plus 1 end fraction$
$fraction numerator x plus 1 over denominator x end fraction$
$fraction numerator 1 over denominator x plus 1 end fraction$

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Jawaban terverifikasi

Pembahasan

Ingat bahwa Sehingga Maka Perhatikan bahwa Sehingga

Ingat bahwa

$log presuperscript a space b c equals log presuperscript a space b plus log presuperscript a space c log presuperscript a space a equals 1 log presuperscript a space b equals fraction numerator 1 over denominator log presuperscript b space a end fraction log presuperscript a b over c equals log presuperscript a space b minus log presuperscript a space c$

Sehingga

Maka

Perhatikan bahwa

$table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript a b end presuperscript space b end cell equals cell fraction numerator 1 over denominator log presuperscript b space a b end fraction end cell row blank equals cell fraction numerator 1 over denominator x plus 1 end fraction end cell end table$

Sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript a b end presuperscript space a end cell equals cell log presuperscript a b end presuperscript fraction numerator a b over denominator b end fraction end cell row blank equals cell log presuperscript a b end presuperscript space a b minus log presuperscript a b end presuperscript space b end cell row blank equals cell 1 minus fraction numerator 1 over denominator x plus 1 end fraction end cell end table$

$equals fraction numerator x over denominator x plus 1 end fraction$