Write in Exponential Form 2 natural log of x-1 = natural log of 4x

Problem

2*ln(x−1)=ln(4*x)

Solution

1. Apply the power property of logarithms to the left side of the equation, which states n*ln(a)=ln(an)

ln((x−1)2)=ln(4*x)

2. Exponentiate both sides using the base e to remove the natural logarithms, applying the property eln(u)=u

eln((x−1)2)=eln(4*x)

3. Simplify the expression to obtain the equation in its exponential/algebraic form.

(x−1)2=4*x

Final Answer

2*ln(x−1)=ln(4*x)⇒(x−1)2=4*x

Want more problems? Check here!