Pertanyaan

Jika diketahui deret geometri yaitu a 1 + a 2 + a 3 + ... . Jika diketahui suku ke-n suatu deret geometri + · ... Jika a 6 = 162 dan lo g a 2 + lo g a 3 + lo g a 4 + lo g a 5 = 4 lo g 2 6 lo g 3 , maka a3 =...

Jika diketahui deret geometri yaitu $a_{1} + a_{2} + a_{3} + ...$ . Jika diketahui suku ke-n suatu deret geometri + · ... Jika $a_{6} = 162$ dan $lo g a_{2} + lo g a_{3} + lo g a_{4} + lo g a_{5} = 4 lo g 26 lo g 3$ , maka a3 =...

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$L o g space a subscript blank squared end subscript space plus space L o g space a subscript 3 space plus space L o g space a subscript 4 space plus space L o g space a subscript 5 space equals space 4 L o g 2 space plus 6 L o g 3 L o g left parenthesis a subscript 2 space right parenthesis left parenthesis a subscript 3 space right parenthesis left parenthesis a subscript 4 space right parenthesis left parenthesis a subscript 5 right parenthesis space equals space L o g space 2 to the power of 4 space left parenthesis 3 to the power of 6 right parenthesis left parenthesis a subscript 2 right parenthesis left parenthesis a subscript 3 right parenthesis left parenthesis a subscript 4 right parenthesis left parenthesis a subscript 5 right parenthesis space equals space 2 to the power of 4 space 3 to the power of 6 left parenthesis a r right parenthesis left parenthesis a r subscript 2 space right parenthesis left parenthesis a r subscript 3 space right parenthesis left parenthesis a r subscript 4 space right parenthesis space equals space 2 to the power of 4 space 3 to the power of 6 a to the power of 4 r to the power of 10 space equals space 2 to the power of 4 space 3 to the power of 6 rightwards arrow a subscript 6 space equals 162 a r space equals 162 a equals 162 over r to the power of 5 rightwards arrow a to the power of 4 r to the power of 10 space equals space 2 to the power of 4 space 3 to the power of 6 open parentheses 162 over r to the power of 5 close parentheses to the power of 4 r to the power of 10 equals 2 to the power of 4 space 3 to the power of 6 left parenthesis 162 right parenthesis squared space r to the power of 10 space equals space 2 to the power of 4 space 3 to the power of 6 r to the power of 10 equals fraction numerator 2 to the power of 4 3 to the power of 6 over denominator open parentheses 162 close parentheses squared end fraction r to the power of 10 equals fraction numerator 2 to the power of 4 3 to the power of 6 over denominator 2 to the power of 4 left parenthesis 3 to the power of 16 right parenthesis end fraction r to the power of 10 space equals space 3 to the power of 10 r equals 3 a equals 162 over r to the power of 5 equals 162 over 3 to the power of 5 equals fraction numerator 2 left parenthesis 3 right parenthesis to the power of 4 over denominator 3 to the power of 5 end fraction equals 2 over 3 rightwards arrow a subscript 3 equals a r squared equals 2 over 3 left parenthesis 3 right parenthesis squared equals 6$