SOLUTION: log2(x)+log2(x-3)=2

Question 1139555: log2(x)+log2(x-3)=2
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
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Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Rewrite the right side in terms of log base 2:

Write the left side as a single logarithm using basic rules of logarithms:

The logs are equal, so the arguments are equal:

or

x=-1 does not work; the argument of a logarithm can't be negative.

x=4 works:

ANSWER: x = 4
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