ln(x)+ln(x+29)=ln(62)

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Solution for ln(x)+ln(x+29)=ln(62) equation: 


Simplifying
ln(x) + ln(x + 29) = ln(62)

Multiply ln * x
lnx + ln(x + 29) = ln(62)

Reorder the terms:
lnx + ln(29 + x) = ln(62)
lnx + (29 * ln + x * ln) = ln(62)
lnx + (29ln + lnx) = ln(62)

Reorder the terms:
29ln + lnx + lnx = ln(62)

Combine like terms: lnx + lnx = 2lnx
29ln + 2lnx = ln(62)

Reorder the terms for easier multiplication:
29ln + 2lnx = 62ln

Solving
29ln + 2lnx = 62ln

Solving for variable 'l'.

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

Add '-62ln' to each side of the equation.
29ln + -62ln + 2lnx = 62ln + -62ln

Combine like terms: 29ln + -62ln = -33ln
-33ln + 2lnx = 62ln + -62ln

Combine like terms: 62ln + -62ln = 0
-33ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-33 + 2x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-33 + 2x)' equal to zero and attempt to solve:

Simplifying
-33 + 2x = 0

Solving
-33 + 2x = 0

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

Add '33' to each side of the equation.
-33 + 33 + 2x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 2x = 0 + 33
2x = 0 + 33

Combine like terms: 0 + 33 = 33
2x = 33

Add '-2x' to each side of the equation.
2x + -2x = 33 + -2x

Combine like terms: 2x + -2x = 0
0 = 33 + -2x

Simplifying
0 = 33 + -2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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