Solve for x natural log of x- natural log of 2=0

Problem

ln(x)−ln(2)=0

Solution

1. Isolate the logarithmic terms by adding ln(2) to both sides of the equation.

ln(x)=ln(2)

2. Apply the property of one-to-one functions for logarithms, which states that if ln(a)=ln(b) then a=b

x=2

3. Verify the solution by ensuring the argument of the natural logarithm is positive, which is true since 2>0

x=2

Final Answer

ln(x)−ln(2)=0⇒x=2

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