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Simplifying log3(18x3) + -1log3(2x) = log3(144) Remove parenthesis around (18x3) g3lo * 18x3 + -1log3(2x) = log3(144) Reorder the terms for easier multiplication: 18g3lo * x3 + -1log3(2x) = log3(144) Multiply g3lo * x3 18g3lox3 + -1log3(2x) = log3(144) Remove parenthesis around (2x) 18g3lox3 + -1g3lo * 2x = log3(144) Reorder the terms for easier multiplication: 18g3lox3 + -1 * 2g3lo * x = log3(144) Multiply -1 * 2 18g3lox3 + -2g3lo * x = log3(144) Multiply g3lo * x 18g3lox3 + -2g3lox = log3(144) Reorder the terms: -2g3lox + 18g3lox3 = log3(144) Reorder the terms for easier multiplication: -2g3lox + 18g3lox3 = 144g3lo Solving -2g3lox + 18g3lox3 = 144g3lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-144g3lo' to each side of the equation. -2g3lox + -144g3lo + 18g3lox3 = 144g3lo + -144g3lo Reorder the terms: -144g3lo + -2g3lox + 18g3lox3 = 144g3lo + -144g3lo Combine like terms: 144g3lo + -144g3lo = 0 -144g3lo + -2g3lox + 18g3lox3 = 0 Factor out the Greatest Common Factor (GCF), '2g3lo'. 2g3lo(-72 + -1x + 9x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'g3lo' equal to zero and attempt to solve: Simplifying g3lo = 0 Solving g3lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g3lo = 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 '(-72 + -1x + 9x3)' equal to zero and attempt to solve: Simplifying -72 + -1x + 9x3 = 0 Solving -72 + -1x + 9x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '72' to each side of the equation. -72 + -1x + 72 + 9x3 = 0 + 72 Reorder the terms: -72 + 72 + -1x + 9x3 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -1x + 9x3 = 0 + 72 -1x + 9x3 = 0 + 72 Combine like terms: 0 + 72 = 72 -1x + 9x3 = 72 Add 'x' to each side of the equation. -1x + x + 9x3 = 72 + x Combine like terms: -1x + x = 0 0 + 9x3 = 72 + x 9x3 = 72 + x Add '-9x3' to each side of the equation. 9x3 + -9x3 = 72 + x + -9x3 Combine like terms: 9x3 + -9x3 = 0 0 = 72 + x + -9x3 Simplifying 0 = 72 + x + -9x3 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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