QuestionJuly 15, 2025

Solve for x. ln2+ln(x+1)=lnx x= square

Solve for x. ln2+ln(x+1)=lnx x= square
Solve for x.
ln2+ln(x+1)=lnx
x= square

Solution
4.2(226 votes)

Answer

x = -2 Explanation 1. Use Logarithm Property Apply the property \ln a + \ln b = \ln(ab) to combine the left side: \ln(2(x+1)) = \ln x. 2. Exponentiate Both Sides Remove the logarithms by exponentiating: 2(x+1) = x. 3. Solve for x Simplify and solve: 2x + 2 = x \implies 2x - x = -2 \implies x = -2.

Explanation

1. Use Logarithm Property<br /> Apply the property $\ln a + \ln b = \ln(ab)$ to combine the left side: $\ln(2(x+1)) = \ln x$.<br /><br />2. Exponentiate Both Sides<br /> Remove the logarithms by exponentiating: $2(x+1) = x$.<br /><br />3. Solve for x<br /> Simplify and solve: $2x + 2 = x \implies 2x - x = -2 \implies x = -2$.
Click to rate: