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Simplifying 2(log[2](4x) + -3) + -1log[3](2x + 3) = 2 Remove parenthesis around (4x) 2(glo * 2 * 4x + -3) + -1log[3](2x + 3) = 2 Reorder the terms for easier multiplication: 2(2 * 4glo * x + -3) + -1log[3](2x + 3) = 2 Multiply 2 * 4 2(8glo * x + -3) + -1log[3](2x + 3) = 2 Multiply glo * x 2(8glox + -3) + -1log[3](2x + 3) = 2 Reorder the terms: 2(-3 + 8glox) + -1log[3](2x + 3) = 2 (-3 * 2 + 8glox * 2) + -1log[3](2x + 3) = 2 (-6 + 16glox) + -1log[3](2x + 3) = 2 Reorder the terms: -6 + 16glox + -1glo * 3(3 + 2x) = 2 Reorder the terms for easier multiplication: -6 + 16glox + -1 * 3glo(3 + 2x) = 2 Multiply -1 * 3 -6 + 16glox + -3glo(3 + 2x) = 2 -6 + 16glox + (3 * -3glo + 2x * -3glo) = 2 -6 + 16glox + (-9glo + -6glox) = 2 Reorder the terms: -6 + -9glo + 16glox + -6glox = 2 Combine like terms: 16glox + -6glox = 10glox -6 + -9glo + 10glox = 2 Solving -6 + -9glo + 10glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -9glo + 6 + 10glox = 2 + 6 Reorder the terms: -6 + 6 + -9glo + 10glox = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -9glo + 10glox = 2 + 6 -9glo + 10glox = 2 + 6 Combine like terms: 2 + 6 = 8 -9glo + 10glox = 8 Reorder the terms: -8 + -9glo + 10glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -9glo + 10glox = 0 The solution to this equation could not be determined.
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