Question

Tog(3х + 5) - log (x -3) = 1
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Answer 1

Answer:

$log_{10}(3x+5)-log_{10}(x-3)\: =\: 1\\ \Rightarrow log_{10}(\frac{3x+5}{x-3})\: =\: log_{10}10\\ \Rightarrow \frac{3x+5}{x-3}\: =\: 10\\ \Rightarrow 3x+5\: =\: 10(x-3)\\ \Rightarrow 3x+5\: =\: 10x-30\\ \Rightarrow 5+30\: =\: 10x-3x\\ \Rightarrow 7x\: =\: 35\\ \Rightarrow x\: =\: 5$