2lnx+5=1+lnx

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Solution for 2lnx+5=1+lnx equation:


Simplifying
2lnx + 5 = 1 + lnx

Reorder the terms:
5 + 2lnx = 1 + lnx

Solving
5 + 2lnx = 1 + lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
5 + 2lnx + -1lnx = 1 + lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
5 + 1lnx = 1 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
5 + 1lnx = 1 + 0
5 + 1lnx = 1

Add '-5' to each side of the equation.
5 + -5 + 1lnx = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 1lnx = 1 + -5
1lnx = 1 + -5

Combine like terms: 1 + -5 = -4
1lnx = -4

Divide each side by '1nx'.
l = -4n-1x-1

Simplifying
l = -4n-1x-1

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