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Log (3x+1) - Log (2x+5)= 1​

Log (3x+1) - Log (2x+5)= 1​
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1 vote
Log (3x+1) - Log (2x+5)= 1​

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User James Ward
by
8.2k points

1 Answer

1 vote

Answer:


\huge \red { \boxed{x = - (49)/(17)}}

Explanation:


log(3x + 1) - log(2x + 5) = 1 \\ \\ log \: (3x + 1)/(2x + 5) = log \: 10..( \because \: log \: 10 = 1) \\ \\ (3x + 1)/(2x + 5) = 10 \\ \\ 3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\ \\ - 17x = 49 \\ \\ x = (49)/( - 17) \\ \\ \huge \purple{ \boxed{x = - (49)/(17)}} \\

answered
User JSchaefer
by
7.8k points
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