Question

1. Resolva as equações logarítmicas:

a) log2 (x + 1) = 2

b) log5 (2x + 3) = log5 x

c) log3 (log6 x) = 0

d) log2x + 1 (10x – 3) = 1

Answer 1

a) 2x+2=2

2x=2-2

2x=0

x=2

b) log5 (2x + 3) = log5 x

2x + 3 = x

2x - x = - 3

x = - 3

c) log3 (log6 x) = 0

30 = log6 x

log6 x = 1

61 = x

x = 6

d) 2x + 1(10x - 2) = 1

2x + 10x - 2 = 1

12x = 3

x = 3/12

x = 1/4