ln(32+x)=ln(92x)

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Solution for ln(32+x)=ln(92x) equation: 


Simplifying
ln(32 + x) = ln(92x)
(32 * ln + x * ln) = ln(92x)
(32ln + lnx) = ln(92x)

Remove parenthesis around (92x)
32ln + lnx = ln * 92x

Reorder the terms for easier multiplication:
32ln + lnx = 92ln * x

Multiply ln * x
32ln + lnx = 92lnx

Solving
32ln + lnx = 92lnx

Solving for variable 'l'.

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

Add '-92lnx' to each side of the equation.
32ln + lnx + -92lnx = 92lnx + -92lnx

Combine like terms: lnx + -92lnx = -91lnx
32ln + -91lnx = 92lnx + -92lnx

Combine like terms: 92lnx + -92lnx = 0
32ln + -91lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(32 + -91x) = 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 '(32 + -91x)' equal to zero and attempt to solve:

Simplifying
32 + -91x = 0

Solving
32 + -91x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -91x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -91x = 0 + -32
-91x = 0 + -32

Combine like terms: 0 + -32 = -32
-91x = -32

Add '91x' to each side of the equation.
-91x + 91x = -32 + 91x

Combine like terms: -91x + 91x = 0
0 = -32 + 91x

Simplifying
0 = -32 + 91x

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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