Log(x^2+2)-log(4)=log(63)

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Solution for Log(x^2+2)-log(4)=log(63) equation:


Simplifying
Log(x2 + 2) + -1log(4) = log(63)

Reorder the terms:
goL(2 + x2) + -1log(4) = log(63)
(2 * goL + x2 * goL) + -1log(4) = log(63)
(2goL + gox2L) + -1log(4) = log(63)

Reorder the terms for easier multiplication:
2goL + gox2L + -1 * 4glo = log(63)

Multiply -1 * 4
2goL + gox2L + -4glo = log(63)

Reorder the terms:
-4glo + 2goL + gox2L = log(63)

Reorder the terms for easier multiplication:
-4glo + 2goL + gox2L = 63glo

Solving
-4glo + 2goL + gox2L = 63glo

Solving for variable 'g'.

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

Add '-63glo' to each side of the equation.
-4glo + 2goL + -63glo + gox2L = 63glo + -63glo

Reorder the terms:
-4glo + -63glo + 2goL + gox2L = 63glo + -63glo

Combine like terms: -4glo + -63glo = -67glo
-67glo + 2goL + gox2L = 63glo + -63glo

Combine like terms: 63glo + -63glo = 0
-67glo + 2goL + gox2L = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-67l + 2L + x2L) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-67l + 2L + x2L)' equal to zero and attempt to solve: Simplifying -67l + 2L + x2L = 0 Reorder the terms: 2L + -67l + x2L = 0 Solving 2L + -67l + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -67l + -2L + x2L = 0 + -2L Reorder the terms: 2L + -2L + -67l + x2L = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -67l + x2L = 0 + -2L -67l + x2L = 0 + -2L Remove the zero: -67l + x2L = -2L Add '67l' to each side of the equation. -67l + 67l + x2L = -2L + 67l Combine like terms: -67l + 67l = 0 0 + x2L = -2L + 67l x2L = -2L + 67l Add '-1x2L' to each side of the equation. x2L + -1x2L = -2L + 67l + -1x2L Combine like terms: x2L + -1x2L = 0 0 = -2L + 67l + -1x2L Simplifying 0 = -2L + 67l + -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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