Logb(x^2+2)=logb(24)

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Solution for Logb(x^2+2)=logb(24) equation: 


Simplifying
Logb(x2 + 2) = logb(24)

Reorder the terms:
bgoL(2 + x2) = logb(24)
(2 * bgoL + x2 * bgoL) = logb(24)
(2bgoL + bgox2L) = logb(24)

Reorder the terms for easier multiplication:
2bgoL + bgox2L = 24bglo

Solving
2bgoL + bgox2L = 24bglo

Solving for variable 'b'.

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

Add '-24bglo' to each side of the equation.
2bgoL + -24bglo + bgox2L = 24bglo + -24bglo

Reorder the terms:
-24bglo + 2bgoL + bgox2L = 24bglo + -24bglo

Combine like terms: 24bglo + -24bglo = 0
-24bglo + 2bgoL + bgox2L = 0

Factor out the Greatest Common Factor (GCF), 'bgo'.
bgo(-24l + 2L + 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 '(-24l + 2L + x2L)' equal to zero and attempt to solve:

Simplifying
-24l + 2L + x2L = 0

Reorder the terms:
2L + -24l + x2L = 0

Solving
2L + -24l + x2L = 0

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

Add '-2L' to each side of the equation.
2L + -24l + -2L + x2L = 0 + -2L

Reorder the terms:
2L + -2L + -24l + x2L = 0 + -2L

Combine like terms: 2L + -2L = 0
0 + -24l + x2L = 0 + -2L
-24l + x2L = 0 + -2L
Remove the zero:
-24l + x2L = -2L

Add '24l' to each side of the equation.
-24l + 24l + x2L = -2L + 24l

Combine like terms: -24l + 24l = 0
0 + x2L = -2L + 24l
x2L = -2L + 24l

Add '-1x2L' to each side of the equation.
x2L + -1x2L = -2L + 24l + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = -2L + 24l + -1x2L

Simplifying
0 = -2L + 24l + -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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