SOLUTION: Solve for y log10 y - log10 (2-y) = 0

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Question 423619: Solve for y
log10 y - log10 (2-y) = 0
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I assume the 10's are the bases of the logarithm:
log%2810%2C+%28y%29%29+-+log%2810%2C+%282-y%29%29+=+0
The quick way to solve this is to add the second logarithm to each side:
log%2810%2C+%28y%29%29+=+log%2810%2C+%282-y%29%29
The only way for these two base 10 logarithms to be the same is if the arguments are the same , too:
y = 2-y
Adding y to each side:
2y = 2
Dividing by 2:
y = 1