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How do I work out this problem? Ln(5x-3)=Ln9-Ln(x-3)

How do I work out this problem? Ln(5x-3)=Ln9-Ln(x-3)
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How do I work out this problem? Ln(5x-3)=Ln9-Ln(x-3)

User Tristan Lee
by
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1 Answer

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Using the laws of logs, the equation can be simplified to:
5x - 3 = 9/(x - 3)
Cross-multiplying gives:
(5x - 3)(x - 3) = 9
Expanding and rearranging, we get:
5x^2 - 18x = 0
which factorizes to:
x(5x - 18) = 0
Therefore x = 0, 3 3/5.
User Carlos Irano
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