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

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asked Feb 6, 2021 136k views

1 vote

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

Mathematics
middle-school

James Ward asked

by James Ward

3.6k points

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1 Answer

1 vote

Answer:

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

Explanation:

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