Pertanyaan

Hasil kali semua nilai x yang memenuhi persamaan lo g ( 64 24 2 x 2 − 40 x ) = 0 adalah .....

Hasil kali semua nilai x yang memenuhi persamaan $lo g (64 24 2^{x^{2} - 40 x}) = 0$ adalah .....

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$log left parenthesis space 64 root index 24 of 2 to the power of x squared minus 40 x end exponent end root right parenthesis space equals space 0 log left parenthesis space 64 root index 24 of 2 to the power of x squared minus 40 x end exponent end root right parenthesis space equals space log space 1 left parenthesis space 64 root index 24 of 2 to the power of x squared minus 40 x end exponent end root right parenthesis space equals 1 64 open parentheses 2 to the power of fraction numerator x squared minus 40 x over denominator 24 end fraction end exponent close parentheses equals 1 open parentheses 2 to the power of fraction numerator x squared minus 40 x over denominator 24 end fraction end exponent close parentheses equals 1 over 64 open parentheses 2 to the power of fraction numerator x squared minus 40 x over denominator 24 end fraction end exponent close parentheses equals 2 to the power of negative 6 end exponent fraction numerator x squared minus 40 x over denominator 24 end fraction equals negative 6 x squared space minus space 40 x space plus 144 space equals space 0 X subscript 1. X subscript 2 space equals c over a equals 144 over 1 equals 144$