SOLUTION: 6 exponent x+1 equals 28....how to solve for x Also Log (x+9) equals 1- log (x)

Question 624160: 6 exponent x+1 equals 28....how to solve for x
Also
Log (x+9) equals 1- log (x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
6 exponent x+1 equals 28....how to solve for x
Also
Log (x+9) equals 1- log (x)
**
6^(x+1)=28
take log of both sides
(x+1)log6=log28
x+1=log 28/log6
x=log 28/log6-1
x≈0.86
..
log(x+9)=1-logx
log(x+9)+logx=1
log[(x+9)(x)]=1
convert to exponential form:
10^1=x(x+9)
10=x^2+9x
x^2+9x-10=0
(x+10)(x-1)=0
x=-10 (reject, x>0)
or
x=1

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