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
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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
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