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Simplifying log(5a + -8) = loga Reorder the terms: glo(-8 + 5a) = loga (-8 * glo + 5a * glo) = loga Reorder the terms: (5aglo + -8glo) = loga (5aglo + -8glo) = loga Solving 5aglo + -8glo = aglo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1aglo' to each side of the equation. 5aglo + -1aglo + -8glo = aglo + -1aglo Combine like terms: 5aglo + -1aglo = 4aglo 4aglo + -8glo = aglo + -1aglo Combine like terms: aglo + -1aglo = 0 4aglo + -8glo = 0 Add '8glo' to each side of the equation. 4aglo + -8glo + 8glo = 0 + 8glo Combine like terms: -8glo + 8glo = 0 4aglo + 0 = 0 + 8glo 4aglo = 0 + 8glo Remove the zero: 4aglo = 8glo Divide each side by '4glo'. a = 2 Simplifying a = 2
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