ln(x+7)=5+lnx

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Solution for ln(x+7)=5+lnx equation:


Simplifying
ln(x + 7) = 5 + lnx

Reorder the terms:
ln(7 + x) = 5 + lnx
(7 * ln + x * ln) = 5 + lnx
(7ln + lnx) = 5 + lnx

Add '-1lnx' to each side of the equation.
7ln + lnx + -1lnx = 5 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
7ln + 0 = 5 + lnx + -1lnx
7ln = 5 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
7ln = 5 + 0
7ln = 5

Solving
7ln = 5

Solving for variable 'l'.

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

Divide each side by '7n'.
l = 0.7142857143n-1

Simplifying
l = 0.7142857143n-1

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