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asked 8 months ago
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Taking antilogs, your equation is
(2x - 9)/(x - 5) = 5
Multiplying by x-5, you get
2x - 9 = 5(x - 5) = 5x - 25
-9 = 3x - 25 (subtract 2x from both sides)
16 = 3x (add 25 to both sides)
16/3 = x (divide both sides by 3)
Check
Ln(2(16/3)-9) - Ln((16/3)-5) = Ln(5)
Ln(32/3 - 27/3) - Ln(16/3 - 15/3) = Ln(5)
Ln(5/3) - Ln(1/3) = Ln(5)
.51083 - (-1.09861) = 1.60944
.51083 + 1.09861 = 1.60944 (true)
(2x - 9)/(x - 5) = 5
Multiplying by x-5, you get
2x - 9 = 5(x - 5) = 5x - 25
-9 = 3x - 25 (subtract 2x from both sides)
16 = 3x (add 25 to both sides)
16/3 = x (divide both sides by 3)
Check
Ln(2(16/3)-9) - Ln((16/3)-5) = Ln(5)
Ln(32/3 - 27/3) - Ln(16/3 - 15/3) = Ln(5)
Ln(5/3) - Ln(1/3) = Ln(5)
.51083 - (-1.09861) = 1.60944
.51083 + 1.09861 = 1.60944 (true)
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