Resolva:
log (x-3) na base 2 = 3
log (2x-4) = 2
log x na base 4 + log x² na base 4 = 12
log x³ - log x = 2
log (x-3) na base 2 = 3
log (2x-4) = 2
log x na base 4 + log x² na base 4 = 12
log x³ - log x = 2
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Verified answer
log (x-3) na base 2 = 3x-3 = 2³
x = 8 + 3
x = 11
log (2x-4) = 2
2x - 4 = 10²
2x = 100 + 4
x = 104/2
x = 52
log x na base 4 + log x² na base 4 = 12
log x.x² na base 4 = 12 (propriedade da soma de logs)
x³ = 4¹²
x = 4⁴ = 256
log x³ - log x = 2 (propriedade da subtracao de logs)
logx³/x = 2
x² = 10²
x = 10
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