Question

encontre o valor de m, sabendo que log de m na base 2 = log de 5 na base 2 + log de 10 na base 2 - 2 * log de 5 na base 2

Answer 1

log₂ m =log₂ 5 +log₂ 10 -2* log₂ 2

log₂ m =log₂ 5 +log₂ 2*5 -2* log₂ 2

log₂ m =log₂ 5 +log₂ 2 + log₂ 5- 2* log₂ 2

log₂ m =2log₂ 5-  log₂ 2

log₂ m =log₂ 5²-  log₂ 2

log₂ m =log₂ 5²/2

m=5²/2 =25/2