Question

Resolva a equação: log de (2x+5) na base 3 = log (4x+1)² na base 9

Answer 1

log(3) 2x + 5 = log(9) (4x + 1)²

log(3) 2x + 5 = log(3²) (4x + 1)²

log(3) (2x + 5) = 2(1/2)log(3) (4x + 1)

2x + 5 = 4x + 1
2x - 4x = 1 - 5
-2x = - 4
x = 2