Como resolver log de x na base 2 + log 4x na base 4 + log 8x na base 8 é maior ou igual a 0?
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log2(x) + log4(4x) + log8(8x) ≥ 0
log2(x) + log4(4) + log4(x) + log8(8) + log8(x) ≥ 0
log2(x) + log4(x) + log8(x) + 2 ≥ 0
log(x)/log(2) + log(x)/2log(2) + log(x)/3log(2) + 2 ≥ 0
log(x)/log(2) + log(x)/2log(2) + log(x)/3log(2) + 2log(2)/log(2) ≥ 0
log(x) + log(x)/2+ log(x)/3 + 2log(2) ≥ 0
log(x)*(1 + 1/2 + 1/3) ≥ -2log(2)
log(x) ≥ -2log(2)/(11/6)
log(x) ≥ -12log(2)/11
log(x) ≥ -log(2^(12/11))
x ≥ 1/(2*2^(1/11))
log2(x) + log4(4x) + log8(8x) ≥ 0
log2(x) + log4(4) + log4(x) + log8(8) + log8(x) ≥ 0
log2(x) + log4(x) + log8(x) + 2 ≥ 0
log(x)/log(2) + log(x)/2log(2) + log(x)/3log(2) + 2 ≥ 0
log(x)/log(2) + log(x)/2log(2) + log(x)/3log(2) + 2log(2)/log(2) ≥ 0
log(x) + log(x)/2+ log(x)/3 + 2log(2) ≥ 0
log(x)*(1 + 1/2 + 1/3) ≥ -2log(2)
log(x) ≥ -2log(2)/(11/6)
log(x) ≥ -12log(2)/11
log(x) ≥ -log(2^(12/11))
x ≥ 1/(2*2^(1/11))
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