Pertanyaan

Nilai n yang memenuhi persamaan 3 n + 1 ÷ 3 6 × 3 4 = 243 adalah ....

Nilai $n$ yang memenuhi persamaan $3^{n + 1} \div 3^{6} \times 3^{4} = 243$ adalah ....

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

solusi dari adalah .

solusi dari 3 to the power of n plus 1 end exponent divided by 3 to the power of 6 cross times 3 to the power of 4 equals 243

adalah

table attributes columnalign right center left columnspacing 0px end attributes row n equals 6 end table

Pembahasan

Persamaan bilangan berpangkat Sifat eksponen Sehingga diperoleh Jadi, solusi dari adalah .

Persamaan bilangan berpangkat

Sifat eksponen

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of m times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell end table

Sehingga diperoleh

$3 to the power of n plus 1 end exponent divided by 3 to the power of 6 cross times 3 to the power of 4 equals 243 fraction numerator 3 to the power of n plus 1 end exponent times 3 to the power of 4 over denominator 3 to the power of 6 end fraction equals 243 3 to the power of n plus 1 minus 6 plus 4 end exponent equals 3 to the power of 5 3 to the power of n minus 1 end exponent equals 3 to the power of 5$

table attributes columnalign right center left columnspacing 0px end attributes row cell n minus 1 end cell equals 5 row n equals cell 5 plus 1 end cell row n equals 6 end table

Jadi, solusi dari 3 to the power of n plus 1 end exponent divided by 3 to the power of 6 cross times 3 to the power of 4 equals 243 adalah table attributes columnalign right center left columnspacing 0px end attributes row n equals 6 end table .