ln(10)-ln(7-x)=ln(x)

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Solution for ln(10)-ln(7-x)=ln(x) equation:


Simplifying
ln(10) + -1ln(7 + -1x) = ln(x)

Reorder the terms for easier multiplication:
10ln + -1ln(7 + -1x) = ln(x)
10ln + (7 * -1ln + -1x * -1ln) = ln(x)
10ln + (-7ln + 1lnx) = ln(x)

Combine like terms: 10ln + -7ln = 3ln
3ln + 1lnx = ln(x)

Multiply ln * x
3ln + 1lnx = lnx

Solving
3ln + 1lnx = 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.
3ln + 1lnx + -1lnx = lnx + -1lnx

Combine like terms: 1lnx + -1lnx = 0
3ln + 0 = lnx + -1lnx
3ln = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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