Logb(x^2-3x)-logb(x)=logb(3)

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Solution for Logb(x^2-3x)-logb(x)=logb(3) equation: 


Simplifying
Logb(x2 + -3x) + -1logb(x) = logb(3)

Reorder the terms:
bgoL(-3x + x2) + -1logb(x) = logb(3)
(-3x * bgoL + x2 * bgoL) + -1logb(x) = logb(3)
(-3bgoxL + bgox2L) + -1logb(x) = logb(3)

Multiply bglo * x
-3bgoxL + bgox2L + -1bglox = logb(3)

Reorder the terms:
-1bglox + -3bgoxL + bgox2L = logb(3)

Reorder the terms for easier multiplication:
-1bglox + -3bgoxL + bgox2L = 3bglo

Solving
-1bglox + -3bgoxL + bgox2L = 3bglo

Solving for variable 'b'.

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

Add '-3bglo' to each side of the equation.
-1bglox + -3bgoxL + -3bglo + bgox2L = 3bglo + -3bglo

Reorder the terms:
-3bglo + -1bglox + -3bgoxL + bgox2L = 3bglo + -3bglo

Combine like terms: 3bglo + -3bglo = 0
-3bglo + -1bglox + -3bgoxL + bgox2L = 0

Factor out the Greatest Common Factor (GCF), 'bgo'.
bgo(-3l + -1lx + -3xL + x2L) = 0


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

Simplifying
bgo = 0

Solving
bgo = 0

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

Simplifying
bgo = 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 '(-3l + -1lx + -3xL + x2L)' equal to zero and attempt to solve:

Simplifying
-3l + -1lx + -3xL + x2L = 0

Solving
-3l + -1lx + -3xL + x2L = 0

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

Add '3l' to each side of the equation.
-3l + -1lx + -3xL + 3l + x2L = 0 + 3l

Reorder the terms:
-3l + 3l + -1lx + -3xL + x2L = 0 + 3l

Combine like terms: -3l + 3l = 0
0 + -1lx + -3xL + x2L = 0 + 3l
-1lx + -3xL + x2L = 0 + 3l
Remove the zero:
-1lx + -3xL + x2L = 3l

Add 'lx' to each side of the equation.
-1lx + -3xL + lx + x2L = 3l + lx

Reorder the terms:
-1lx + lx + -3xL + x2L = 3l + lx

Combine like terms: -1lx + lx = 0
0 + -3xL + x2L = 3l + lx
-3xL + x2L = 3l + lx

Add '3xL' to each side of the equation.
-3xL + 3xL + x2L = 3l + lx + 3xL

Combine like terms: -3xL + 3xL = 0
0 + x2L = 3l + lx + 3xL
x2L = 3l + lx + 3xL

Add '-1x2L' to each side of the equation.
x2L + -1x2L = 3l + lx + 3xL + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = 3l + lx + 3xL + -1x2L

Simplifying
0 = 3l + lx + 3xL + -1x2L

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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