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Simplifying log(5)(26x + -10) = 3 + log(5)(x + -8) Reorder the terms: glo * 5(-10 + 26x) = 3 + log(5)(x + -8) Reorder the terms for easier multiplication: 5glo(-10 + 26x) = 3 + log(5)(x + -8) (-10 * 5glo + 26x * 5glo) = 3 + log(5)(x + -8) (-50glo + 130glox) = 3 + log(5)(x + -8) Reorder the terms: -50glo + 130glox = 3 + glo * 5(-8 + x) Reorder the terms for easier multiplication: -50glo + 130glox = 3 + 5glo(-8 + x) -50glo + 130glox = 3 + (-8 * 5glo + x * 5glo) -50glo + 130glox = 3 + (-40glo + 5glox) Solving -50glo + 130glox = 3 + -40glo + 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '40glo' to each side of the equation. -50glo + 40glo + 130glox = 3 + -40glo + 40glo + 5glox Combine like terms: -50glo + 40glo = -10glo -10glo + 130glox = 3 + -40glo + 40glo + 5glox Combine like terms: -40glo + 40glo = 0 -10glo + 130glox = 3 + 0 + 5glox -10glo + 130glox = 3 + 5glox Add '-5glox' to each side of the equation. -10glo + 130glox + -5glox = 3 + 5glox + -5glox Combine like terms: 130glox + -5glox = 125glox -10glo + 125glox = 3 + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 -10glo + 125glox = 3 + 0 -10glo + 125glox = 3 Reorder the terms: -3 + -10glo + 125glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -10glo + 125glox = 0 The solution to this equation could not be determined.
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