ln(x+5)=1+lnx

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Solution for ln(x+5)=1+lnx equation:


Simplifying
ln(x + 5) = 1 + lnx

Reorder the terms:
ln(5 + x) = 1 + lnx
(5 * ln + x * ln) = 1 + lnx
(5ln + lnx) = 1 + lnx

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

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

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

Solving
5ln = 1

Solving for variable 'l'.

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

Divide each side by '5n'.
l = 0.2n-1

Simplifying
l = 0.2n-1

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