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coldgirl [10]
2 years ago
6

Log (3x+1) - Log (2x+5)= 1​

Mathematics
1 answer:
sleet_krkn [62]2 years ago
6 0

Answer:

\huge \red { \boxed{x =  -  \frac{49}{17}}}

Step-by-step explanation:

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

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