ln(x+3)+ln(x)-10=ln(e)

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Solution for ln(x+3)+ln(x)-10=ln(e) equation:


Simplifying
ln(x + 3) + ln(x) + -10 = ln(e)

Reorder the terms:
ln(3 + x) + ln(x) + -10 = ln(e)
(3 * ln + x * ln) + ln(x) + -10 = ln(e)
(3ln + lnx) + ln(x) + -10 = ln(e)

Multiply ln * x
3ln + lnx + lnx + -10 = ln(e)

Reorder the terms:
-10 + 3ln + lnx + lnx = ln(e)

Combine like terms: lnx + lnx = 2lnx
-10 + 3ln + 2lnx = ln(e)

Multiply ln * e
-10 + 3ln + 2lnx = eln

Solving
-10 + 3ln + 2lnx = eln

Solving for variable 'l'.

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

Add '-1eln' to each side of the equation.
-10 + 3ln + -1eln + 2lnx = eln + -1eln

Reorder the terms:
-10 + -1eln + 3ln + 2lnx = eln + -1eln

Combine like terms: eln + -1eln = 0
-10 + -1eln + 3ln + 2lnx = 0

Add '10' to each side of the equation.
-10 + -1eln + 3ln + 10 + 2lnx = 0 + 10

Reorder the terms:
-10 + 10 + -1eln + 3ln + 2lnx = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1eln + 3ln + 2lnx = 0 + 10
-1eln + 3ln + 2lnx = 0 + 10

Combine like terms: 0 + 10 = 10
-1eln + 3ln + 2lnx = 10

Reorder the terms:
-10 + -1eln + 3ln + 2lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -1eln + 3ln + 2lnx = 0

The solution to this equation could not be determined.

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