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Jika dan , maka nilai

Pertanyaan

Jika log space 2 equals a dan log space 3 equals b, maka nilai space log space 120 equals...
 

Pembahasan Soal:

Berlaku aturan logaritma sebgai berikut,

table attributes columnalign right center left columnspacing 0px end attributes row cell log presuperscript a subscript b plus log presuperscript a subscript c end cell equals cell log presuperscript a subscript b c end subscript end cell row cell log subscript 10 end cell equals 1 row cell log presuperscript a subscript b to the power of c end cell equals cell c. log presuperscript a subscript b end cell row blank blank blank end table

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell space log space 120 end cell equals cell log space 40 cross times 30 end cell row blank equals cell log 4 cross times 10 cross times 3 end cell row blank equals cell log 2 squared cross times 10 cross times 3 end cell row blank equals cell 2 log 2 cross times 10 cross times 3 end cell row blank equals cell 2 log 2 plus log 10 plus log 3 end cell row blank equals cell 2 left parenthesis a right parenthesis plus 1 plus b end cell row blank equals cell 2 a plus b plus 1 end cell end table

Jadi, nilai space log space 120 adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table.

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

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