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Simplifying logx = 2loga + logB Solving glox = 2aglo + gloB Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2aglo' to each side of the equation. -2aglo + glox = 2aglo + -2aglo + gloB Combine like terms: 2aglo + -2aglo = 0 -2aglo + glox = 0 + gloB -2aglo + glox = gloB Add '-1gloB' to each side of the equation. -2aglo + -1gloB + glox = gloB + -1gloB Combine like terms: gloB + -1gloB = 0 -2aglo + -1gloB + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2a + -1B + x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-2a + -1B + x)' equal to zero and attempt to solve: Simplifying -2a + -1B + x = 0 Reorder the terms: -1B + -2a + x = 0 Solving -1B + -2a + x = 0 Move all terms containing g to the left, all other terms to the right. Add 'B' to each side of the equation. -1B + -2a + B + x = 0 + B Reorder the terms: -1B + B + -2a + x = 0 + B Combine like terms: -1B + B = 0 0 + -2a + x = 0 + B -2a + x = 0 + B Remove the zero: -2a + x = B Add '2a' to each side of the equation. -2a + 2a + x = B + 2a Combine like terms: -2a + 2a = 0 0 + x = B + 2a x = B + 2a Add '-1x' to each side of the equation. x + -1x = B + 2a + -1x Combine like terms: x + -1x = 0 0 = B + 2a + -1x Simplifying 0 = B + 2a + -1x 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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