logb(8)+logb(x^2)=logbx

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Solution for logb(8)+logb(x^2)=logbx equation: 


Simplifying
logb(8) + logb(x2) = logbx

Reorder the terms for easier multiplication:
8bglo + logb(x2) = logbx

Multiply bglo * x2
8bglo + bglox2 = logbx

Solving
8bglo + bglox2 = bglox

Solving for variable 'b'.

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

Add '-1bglox' to each side of the equation.
8bglo + -1bglox + bglox2 = bglox + -1bglox

Combine like terms: bglox + -1bglox = 0
8bglo + -1bglox + bglox2 = 0

Factor out the Greatest Common Factor (GCF), 'bglo'.
bglo(8 + -1x + x2) = 0


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

Simplifying
bglo = 0

Solving
bglo = 0

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

Simplifying
bglo = 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 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x + x2 = 0

Solving
8 + -1x + x2 = 0

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

Add '-8' to each side of the equation.
8 + -1x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -1x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x + x2 = 0 + -8
-1x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x + x2 = -8

Add 'x' to each side of the equation.
-1x + x + x2 = -8 + x

Combine like terms: -1x + x = 0
0 + x2 = -8 + x
x2 = -8 + x

Add '-1x2' to each side of the equation.
x2 + -1x2 = -8 + x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -8 + x + -1x2

Simplifying
0 = -8 + x + -1x2

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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