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Simplifying log[4](7) + -1log[4](2x) = 2 Reorder the terms for easier multiplication: 4 * 7glo + -1log[4](2x) = 2 Multiply 4 * 7 28glo + -1log[4](2x) = 2 Remove parenthesis around (2x) 28glo + -1glo * 4 * 2x = 2 Reorder the terms for easier multiplication: 28glo + -1 * 4 * 2glo * x = 2 Multiply -1 * 4 28glo + -4 * 2glo * x = 2 Multiply -4 * 2 28glo + -8glo * x = 2 Multiply glo * x 28glo + -8glox = 2 Solving 28glo + -8glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 28glo + -8glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 28glo + -8glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 14glo + -4glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 14glo + -4glox)' equal to zero and attempt to solve: Simplifying -1 + 14glo + -4glox = 0 Solving -1 + 14glo + -4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 14glo + 1 + -4glox = 0 + 1 Reorder the terms: -1 + 1 + 14glo + -4glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 14glo + -4glox = 0 + 1 14glo + -4glox = 0 + 1 Combine like terms: 0 + 1 = 1 14glo + -4glox = 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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