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Simplifying 7log15(x + 8) = 7 Reorder the terms: 7g15lo(8 + x) = 7 (8 * 7g15lo + x * 7g15lo) = 7 (56g15lo + 7g15lox) = 7 Solving 56g15lo + 7g15lox = 7 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -7 + 56g15lo + 7g15lox = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 56g15lo + 7g15lox = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-1 + 8g15lo + g15lox) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-1 + 8g15lo + g15lox)' equal to zero and attempt to solve: Simplifying -1 + 8g15lo + g15lox = 0 Solving -1 + 8g15lo + g15lox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 8g15lo + 1 + g15lox = 0 + 1 Reorder the terms: -1 + 1 + 8g15lo + g15lox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8g15lo + g15lox = 0 + 1 8g15lo + g15lox = 0 + 1 Combine like terms: 0 + 1 = 1 8g15lo + g15lox = 1 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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