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Simplifying Loga(x + 2) = loga(x + 2) Reorder the terms: agoL(2 + x) = loga(x + 2) (2 * agoL + x * agoL) = loga(x + 2) (2agoL + agoxL) = loga(x + 2) Reorder the terms: 2agoL + agoxL = aglo(2 + x) 2agoL + agoxL = (2 * aglo + x * aglo) 2agoL + agoxL = (2aglo + aglox) Solving 2agoL + agoxL = 2aglo + aglox Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2aglo' to each side of the equation. 2agoL + -2aglo + agoxL = 2aglo + -2aglo + aglox Reorder the terms: -2aglo + 2agoL + agoxL = 2aglo + -2aglo + aglox Combine like terms: 2aglo + -2aglo = 0 -2aglo + 2agoL + agoxL = 0 + aglox -2aglo + 2agoL + agoxL = aglox Add '-1aglox' to each side of the equation. -2aglo + 2agoL + -1aglox + agoxL = aglox + -1aglox Reorder the terms: -2aglo + -1aglox + 2agoL + agoxL = aglox + -1aglox Combine like terms: aglox + -1aglox = 0 -2aglo + -1aglox + 2agoL + agoxL = 0 Factor out the Greatest Common Factor (GCF), 'ago'. ago(-2l + -1lx + 2L + xL) = 0Subproblem 1
Set the factor 'ago' equal to zero and attempt to solve: Simplifying ago = 0 Solving ago = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ago = 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 '(-2l + -1lx + 2L + xL)' equal to zero and attempt to solve: Simplifying -2l + -1lx + 2L + xL = 0 Reorder the terms: 2L + -2l + -1lx + xL = 0 Solving 2L + -2l + -1lx + xL = 0 Move all terms containing a to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -2l + -1lx + -2L + xL = 0 + -2L Reorder the terms: 2L + -2L + -2l + -1lx + xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -2l + -1lx + xL = 0 + -2L -2l + -1lx + xL = 0 + -2L Remove the zero: -2l + -1lx + xL = -2L Add '2l' to each side of the equation. -2l + -1lx + 2l + xL = -2L + 2l Reorder the terms: -2l + 2l + -1lx + xL = -2L + 2l Combine like terms: -2l + 2l = 0 0 + -1lx + xL = -2L + 2l -1lx + xL = -2L + 2l Add 'lx' to each side of the equation. -1lx + lx + xL = -2L + 2l + lx Combine like terms: -1lx + lx = 0 0 + xL = -2L + 2l + lx xL = -2L + 2l + lx Add '-1xL' to each side of the equation. xL + -1xL = -2L + 2l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -2L + 2l + lx + -1xL Simplifying 0 = -2L + 2l + lx + -1xL 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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