Log^9(x^2+7)=log^9(43)

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Solution for Log^9(x^2+7)=log^9(43) equation:


Simplifying
Log9(x2 + 7) = log9(43)

Reorder the terms:
g9oL(7 + x2) = log9(43)
(7 * g9oL + x2 * g9oL) = log9(43)
(7g9oL + g9ox2L) = log9(43)

Reorder the terms for easier multiplication:
7g9oL + g9ox2L = 43g9lo

Solving
7g9oL + g9ox2L = 43g9lo

Solving for variable 'g'.

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

Add '-43g9lo' to each side of the equation.
7g9oL + -43g9lo + g9ox2L = 43g9lo + -43g9lo

Reorder the terms:
-43g9lo + 7g9oL + g9ox2L = 43g9lo + -43g9lo

Combine like terms: 43g9lo + -43g9lo = 0
-43g9lo + 7g9oL + g9ox2L = 0

Factor out the Greatest Common Factor (GCF), 'g9o'.
g9o(-43l + 7L + x2L) = 0

Subproblem 1

Set the factor 'g9o' equal to zero and attempt to solve: Simplifying g9o = 0 Solving g9o = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g9o = 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 '(-43l + 7L + x2L)' equal to zero and attempt to solve: Simplifying -43l + 7L + x2L = 0 Reorder the terms: 7L + -43l + x2L = 0 Solving 7L + -43l + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '-7L' to each side of the equation. 7L + -43l + -7L + x2L = 0 + -7L Reorder the terms: 7L + -7L + -43l + x2L = 0 + -7L Combine like terms: 7L + -7L = 0 0 + -43l + x2L = 0 + -7L -43l + x2L = 0 + -7L Remove the zero: -43l + x2L = -7L Add '43l' to each side of the equation. -43l + 43l + x2L = -7L + 43l Combine like terms: -43l + 43l = 0 0 + x2L = -7L + 43l x2L = -7L + 43l Add '-1x2L' to each side of the equation. x2L + -1x2L = -7L + 43l + -1x2L Combine like terms: x2L + -1x2L = 0 0 = -7L + 43l + -1x2L Simplifying 0 = -7L + 43l + -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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