2ln(x)=ln(2x+5)

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Solution for 2ln(x)=ln(2x+5) equation:


Simplifying
2ln(x) = ln(2x + 5)

Multiply ln * x
2lnx = ln(2x + 5)

Reorder the terms:
2lnx = ln(5 + 2x)
2lnx = (5 * ln + 2x * ln)
2lnx = (5ln + 2lnx)

Add '-2lnx' to each side of the equation.
2lnx + -2lnx = 5ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
0 = 5ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
0 = 5ln + 0
0 = 5ln

Solving
0 = 5ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-5ln' to each side of the equation.
0 + -5ln = 5ln + -5ln
Remove the zero:
-5ln = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-5ln = 0

Divide each side by '-5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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