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Simplifying Log[7](3x + -11) = log[7](5) + log[7](8) Reorder the terms: goL * 7(-11 + 3x) = log[7](5) + log[7](8) Reorder the terms for easier multiplication: 7goL(-11 + 3x) = log[7](5) + log[7](8) (-11 * 7goL + 3x * 7goL) = log[7](5) + log[7](8) (-77goL + 21goxL) = log[7](5) + log[7](8) Reorder the terms for easier multiplication: -77goL + 21goxL = 7 * 5glo + log[7](8) Multiply 7 * 5 -77goL + 21goxL = 35glo + log[7](8) Reorder the terms for easier multiplication: -77goL + 21goxL = 35glo + 7 * 8glo Multiply 7 * 8 -77goL + 21goxL = 35glo + 56glo Combine like terms: 35glo + 56glo = 91glo -77goL + 21goxL = 91glo Solving -77goL + 21goxL = 91glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-91glo' to each side of the equation. -77goL + -91glo + 21goxL = 91glo + -91glo Reorder the terms: -91glo + -77goL + 21goxL = 91glo + -91glo Combine like terms: 91glo + -91glo = 0 -91glo + -77goL + 21goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-13l + -11L + 3xL) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-13l + -11L + 3xL)' equal to zero and attempt to solve: Simplifying -13l + -11L + 3xL = 0 Reorder the terms: -11L + -13l + 3xL = 0 Solving -11L + -13l + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '11L' to each side of the equation. -11L + -13l + 11L + 3xL = 0 + 11L Reorder the terms: -11L + 11L + -13l + 3xL = 0 + 11L Combine like terms: -11L + 11L = 0 0 + -13l + 3xL = 0 + 11L -13l + 3xL = 0 + 11L Remove the zero: -13l + 3xL = 11L Add '13l' to each side of the equation. -13l + 13l + 3xL = 11L + 13l Combine like terms: -13l + 13l = 0 0 + 3xL = 11L + 13l 3xL = 11L + 13l Add '-3xL' to each side of the equation. 3xL + -3xL = 11L + 13l + -3xL Combine like terms: 3xL + -3xL = 0 0 = 11L + 13l + -3xL Simplifying 0 = 11L + 13l + -3xL 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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