SOLUTION: 0.9=log(0.2-x/x)

Question 255665: 0.9=log(0.2-x/x)
Found 2 solutions by drk, CharlesG2:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Here is the problem:

step 1 - rewrite as exponent

step 2 - mutiply by x to get

add x to get

factor x to get

divide to get

x ~ .02236
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
0.9=log(0.2-x/x)
not sure if this is 0.9=log10 (0.2 - (x/x))
or 0.9=log10 ((0.2-x)/x)
0.9=log10 (0.2-(x/x))
0.9=log10 (0.2-1)
0.9=log10 (-0.8)
can not take log10 of a negative number
0.9=log10 ((0.2-x)/x)
0.9=log10 (y)
y = b^x <==> logb(y) = x
10^0.9=y
10^0.9=(0.2-x)/x
(10^0.9)x=0.2-x
(10^0.9)x+x=0.2
((10^0.9)+1)x=0.2
(7.943282+1)x=0.2
(8.943282)x=0.2
x=0.022363
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