5log(x^2-1)+7=12

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Solution for 5log(x^2-1)+7=12 equation: 


Simplifying
5log(x2 + -1) + 7 = 12

Reorder the terms:
5glo(-1 + x2) + 7 = 12
(-1 * 5glo + x2 * 5glo) + 7 = 12
(-5glo + 5glox2) + 7 = 12

Reorder the terms:
7 + -5glo + 5glox2 = 12

Solving
7 + -5glo + 5glox2 = 12

Solving for variable 'g'.

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

Add '-7' to each side of the equation.
7 + -5glo + -7 + 5glox2 = 12 + -7

Reorder the terms:
7 + -7 + -5glo + 5glox2 = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -5glo + 5glox2 = 12 + -7
-5glo + 5glox2 = 12 + -7

Combine like terms: 12 + -7 = 5
-5glo + 5glox2 = 5

Reorder the terms:
-5 + -5glo + 5glox2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -5glo + 5glox2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -1glo + glox2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-1 + -1glo + glox2)' equal to zero and attempt to solve:

Simplifying
-1 + -1glo + glox2 = 0

Solving
-1 + -1glo + glox2 = 0

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

Add '1' to each side of the equation.
-1 + -1glo + 1 + glox2 = 0 + 1

Reorder the terms:
-1 + 1 + -1glo + glox2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1glo + glox2 = 0 + 1
-1glo + glox2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1glo + glox2 = 1

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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