ln(9x-8)=2(ln(x))

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Solution for ln(9x-8)=2(ln(x)) equation: 


Simplifying
ln(9x + -8) = 2(ln(x))

Reorder the terms:
ln(-8 + 9x) = 2(ln(x))
(-8 * ln + 9x * ln) = 2(ln(x))
(-8ln + 9lnx) = 2(ln(x))

Multiply ln * x
-8ln + 9lnx = 2(lnx)

Solving
-8ln + 9lnx = 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.
-8ln + 9lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 9lnx + -2lnx = 7lnx
-8ln + 7lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-8ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-8 + 7x) = 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 '(-8 + 7x)' equal to zero and attempt to solve:

Simplifying
-8 + 7x = 0

Solving
-8 + 7x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 0 + 8
7x = 0 + 8

Combine like terms: 0 + 8 = 8
7x = 8

Add '-7x' to each side of the equation.
7x + -7x = 8 + -7x

Combine like terms: 7x + -7x = 0
0 = 8 + -7x

Simplifying
0 = 8 + -7x

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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