Ln(4b-9)=lnb

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Solution for Ln(4b-9)=lnb equation: 


Simplifying
Ln(4b + -9) = lnb

Reorder the terms:
nL(-9 + 4b) = lnb
(-9 * nL + 4b * nL) = lnb

Reorder the terms:
(4bnL + -9nL) = lnb
(4bnL + -9nL) = lnb

Solving
4bnL + -9nL = bln

Solving for variable 'b'.

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

Add '-1bln' to each side of the equation.
4bnL + -1bln + -9nL = bln + -1bln

Reorder the terms:
-1bln + 4bnL + -9nL = bln + -1bln

Combine like terms: bln + -1bln = 0
-1bln + 4bnL + -9nL = 0

Add '9nL' to each side of the equation.
-1bln + 4bnL + -9nL + 9nL = 0 + 9nL

Combine like terms: -9nL + 9nL = 0
-1bln + 4bnL + 0 = 0 + 9nL
-1bln + 4bnL = 0 + 9nL
Remove the zero:
-1bln + 4bnL = 9nL

Combine like terms: 9nL + -9nL = 0
-1bln + 4bnL + -9nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1bl + 4bL + -9L) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-1bl + 4bL + -9L)' equal to zero and attempt to solve:

Simplifying
-1bl + 4bL + -9L = 0

Reorder the terms:
-9L + 4bL + -1bl = 0

Solving
-9L + 4bL + -1bl = 0

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

Add '9L' to each side of the equation.
-9L + 4bL + 9L + -1bl = 0 + 9L

Reorder the terms:
-9L + 9L + 4bL + -1bl = 0 + 9L

Combine like terms: -9L + 9L = 0
0 + 4bL + -1bl = 0 + 9L
4bL + -1bl = 0 + 9L
Remove the zero:
4bL + -1bl = 9L

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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