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Simplifying log(x + -10) = 3 + log(x + -3) Reorder the terms: glo(-10 + x) = 3 + log(x + -3) (-10 * glo + x * glo) = 3 + log(x + -3) (-10glo + glox) = 3 + log(x + -3) Reorder the terms: -10glo + glox = 3 + glo(-3 + x) -10glo + glox = 3 + (-3 * glo + x * glo) -10glo + glox = 3 + (-3glo + glox) Add '-1glox' to each side of the equation. -10glo + glox + -1glox = 3 + -3glo + glox + -1glox Combine like terms: glox + -1glox = 0 -10glo + 0 = 3 + -3glo + glox + -1glox -10glo = 3 + -3glo + glox + -1glox Combine like terms: glox + -1glox = 0 -10glo = 3 + -3glo + 0 -10glo = 3 + -3glo Solving -10glo = 3 + -3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. -10glo + 3glo = 3 + -3glo + 3glo Combine like terms: -10glo + 3glo = -7glo -7glo = 3 + -3glo + 3glo Combine like terms: -3glo + 3glo = 0 -7glo = 3 + 0 -7glo = 3 Divide each side by '-7lo'. g = -0.4285714286l-1o-1 Simplifying g = -0.4285714286l-1o-1
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