Question

1: log(x+6) - log(2x-1)=0
2: log(2x-7) + 2log2 =2
3: log x³= log6 + 2 log x
4: log (x+2) + log (x-1) =1
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Answer 1

Respuesta:

1. log(x+6)/(2x-1)=0

10⁰= (x+6)/2x-1)

1(2x-1)= x+6

2x-x= 6+1

x= 7

2. log(2x-7)+log 2²=2

log(2x-7).4=2

10²= 8x-28

100+28= 8x

128/8=x

16= x

3. logx³-2logx= log6

logx³-logx²= log6

logx³/x²= log 6

logx= log6

x= 6

4. log(x+2)+log(x-1)= 1

log(x+2)(x-1)=1

10¹= x²+2x-x-2

10= x²+x-2

0= x²+x-12.

con bascara

x= 4

x= -3