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Simplifying log(4)(5x + 1) + -1log(4) * x = 1 + log(4) * 3 Reorder the terms: glo * 4(1 + 5x) + -1log(4) * x = 1 + log(4) * 3 Reorder the terms for easier multiplication: 4glo(1 + 5x) + -1log(4) * x = 1 + log(4) * 3 (1 * 4glo + 5x * 4glo) + -1log(4) * x = 1 + log(4) * 3 (4glo + 20glox) + -1log(4) * x = 1 + log(4) * 3 Reorder the terms for easier multiplication: 4glo + 20glox + -1 * 4glo * x = 1 + log(4) * 3 Multiply -1 * 4 4glo + 20glox + -4glo * x = 1 + log(4) * 3 Multiply glo * x 4glo + 20glox + -4glox = 1 + log(4) * 3 Combine like terms: 20glox + -4glox = 16glox 4glo + 16glox = 1 + log(4) * 3 Reorder the terms for easier multiplication: 4glo + 16glox = 1 + 4 * 3glo Multiply 4 * 3 4glo + 16glox = 1 + 12glo Solving 4glo + 16glox = 1 + 12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. 4glo + -12glo + 16glox = 1 + 12glo + -12glo Combine like terms: 4glo + -12glo = -8glo -8glo + 16glox = 1 + 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -8glo + 16glox = 1 + 0 -8glo + 16glox = 1 Reorder the terms: -1 + -8glo + 16glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -8glo + 16glox = 0 The solution to this equation could not be determined.
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