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Simplifying 1 + log[4](x + -6) = log[4](2x + -10) Reorder the terms: 1 + glo * 4(-6 + x) = log[4](2x + -10) Reorder the terms for easier multiplication: 1 + 4glo(-6 + x) = log[4](2x + -10) 1 + (-6 * 4glo + x * 4glo) = log[4](2x + -10) 1 + (-24glo + 4glox) = log[4](2x + -10) Reorder the terms: 1 + -24glo + 4glox = glo * 4(-10 + 2x) Reorder the terms for easier multiplication: 1 + -24glo + 4glox = 4glo(-10 + 2x) 1 + -24glo + 4glox = (-10 * 4glo + 2x * 4glo) 1 + -24glo + 4glox = (-40glo + 8glox) Solving 1 + -24glo + 4glox = -40glo + 8glox 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. 1 + -24glo + 40glo + 4glox = -40glo + 40glo + 8glox Combine like terms: -24glo + 40glo = 16glo 1 + 16glo + 4glox = -40glo + 40glo + 8glox Combine like terms: -40glo + 40glo = 0 1 + 16glo + 4glox = 0 + 8glox 1 + 16glo + 4glox = 8glox Add '-8glox' to each side of the equation. 1 + 16glo + 4glox + -8glox = 8glox + -8glox Combine like terms: 4glox + -8glox = -4glox 1 + 16glo + -4glox = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 1 + 16glo + -4glox = 0 Add '-1' to each side of the equation. 1 + 16glo + -1 + -4glox = 0 + -1 Reorder the terms: 1 + -1 + 16glo + -4glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16glo + -4glox = 0 + -1 16glo + -4glox = 0 + -1 Combine like terms: 0 + -1 = -1 16glo + -4glox = -1 Reorder the terms: 1 + 16glo + -4glox = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 16glo + -4glox = 0 The solution to this equation could not be determined.
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