Resolva as inequações abaixo:
a) log5 (x-1) > 0
b) log3 (2x+6)< log3 4
c) log1/2 (x+1)> 0
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a) log5 (x - 1) > 0
x - 1 > 5^0
x - 1 > 1
x > 1 + 1
x > 2
b) log3 (2x + 6) < log3 4
2x + 6 < 4
2x < 4 - 6
2x < - 2
x < - 2/2
x < - 1
c) log1/2 (x + 1) > 0
x + 1 > (1/2)^0
x + 1 > 1
x > 1 - 1
x > 0
x - 1 > 5^0
x - 1 > 1
x > 1 + 1
x > 2
b) log3 (2x + 6) < log3 4
2x + 6 < 4
2x < 4 - 6
2x < - 2
x < - 2/2
x < - 1
c) log1/2 (x + 1) > 0
x + 1 > (1/2)^0
x + 1 > 1
x > 1 - 1
x > 0
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