Math  /  Algebra

QuestionSolve for xx : log(x+3)log(x+1)=1x=\begin{array}{l} \log (x+3)-\log (x+1)=1 \\ x=\square \end{array}
You may enter the exact value or round to 4 decimal places.

Studdy Solution
Rearrange the terms to solve for x x . Subtract x x from both sides:
3=9x+103 = 9x + 10
Subtract 10 from both sides:
310=9x3 - 10 = 9x
7=9x-7 = 9x
Divide both sides by 9:
x=79x = -\frac{7}{9}
The value of x x is:
x=790.7778x = -\frac{7}{9} \approx -0.7778

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