ln(18x+63)=2ln(x)

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Solution for ln(18x+63)=2ln(x) equation: 


Simplifying
ln(18x + 63) = 2ln(x)

Reorder the terms:
ln(63 + 18x) = 2ln(x)
(63 * ln + 18x * ln) = 2ln(x)
(63ln + 18lnx) = 2ln(x)

Multiply ln * x
63ln + 18lnx = 2lnx

Solving
63ln + 18lnx = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
63ln + 18lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 18lnx + -2lnx = 16lnx
63ln + 16lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
63ln + 16lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(63 + 16x) = 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 '(63 + 16x)' equal to zero and attempt to solve:

Simplifying
63 + 16x = 0

Solving
63 + 16x = 0

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

Add '-63' to each side of the equation.
63 + -63 + 16x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + 16x = 0 + -63
16x = 0 + -63

Combine like terms: 0 + -63 = -63
16x = -63

Add '-16x' to each side of the equation.
16x + -16x = -63 + -16x

Combine like terms: 16x + -16x = 0
0 = -63 + -16x

Simplifying
0 = -63 + -16x

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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