Solve lnx2 = (lnx)2

Evaluate

ln (x \times 2) = ln (x) \times 2

Find the domain

More Steps

ln (x \times 2) = ln (x) \times 2, x > 0

Use the commutative property to reorder the terms

ln (2 x) = ln (x) \times 2

Multiply the terms

ln (2 x) = 2 ln (x)

Move the expression to the left side

ln (2 x) - 2 ln (x) = 0

Add the terms

More Steps

ln (\frac{2}{x}) = 0

Convert the logarithm into exponential form using the fact that lo g_{a} x = b is equal to x = a^{b}

\frac{2}{x} = e^{0}

Evaluate the power

\frac{2}{x} = 1

Cross multiply

2 = x

Swap the sides of the equation

x = 2

Check if the solution is in the defined range

x = 2, x > 0

Solution

x = 2

Solve the equation