Question

log de x na base 2+log de x na base 4+log de x na base 8 + log de x na base 16 = -6,25

Answer 1

Log₂ x+log₄ x+ log₈ x  + log₁₆ x  = -6,25

log x/log 2 +log x/2log2+ log x/3log 2 + log x/4logx =-6,25

log x/log 2 +log x/2log2+ log x/3log 2 + log x/4logx =-6,25

multiplique tudo por 12

12log x/log 2 +6log x/log2+ 4log x/log 2 + 3log x/logx =-6,25 *12

25 *log x = (-6,25*12)* log 2

25 *log x = -75*log 2

log x =-3 *log 2

log x= log 2⁻³

x=1/8