SOLUTION: 0= log base 5 (x-2) - log base 5 (2x)

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Question 975452: 0= log base 5 (x-2) - log base 5 (2x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

0=+log%285%2C+%28x-2%29%29+-+log%285+%2C%282x%29%29
0=+log%285%2C+%28x-2%29%2F2x%29.......since log%285%2C1%29=0, we have
log%285%2C1%29=+log%285%2C+%28x-2%29%2F2x%29....since log and bases same, we have
1=+%28x-2%29%2F2x......solve for x
1%2A2x=+%28x-2%29
2x=+x-2
2x-x=-2
x=-2