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Simplifying loga = log(4a + -9) Reorder the terms: aglo = glo(-9 + 4a) aglo = (-9 * glo + 4a * glo) Reorder the terms: aglo = (4aglo + -9glo) aglo = (4aglo + -9glo) Solving aglo = 4aglo + -9glo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4aglo' to each side of the equation. aglo + -4aglo = 4aglo + -4aglo + -9glo Combine like terms: aglo + -4aglo = -3aglo -3aglo = 4aglo + -4aglo + -9glo Combine like terms: 4aglo + -4aglo = 0 -3aglo = 0 + -9glo -3aglo = -9glo Divide each side by '-3glo'. a = 3 Simplifying a = 3

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