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Simplifying log3(18x3) + -1log3(2x) = log3144 Remove parenthesis around (18x3) g3lo * 18x3 + -1log3(2x) = log3144 Reorder the terms for easier multiplication: 18g3lo * x3 + -1log3(2x) = log3144 Multiply g3lo * x3 18g3lox3 + -1log3(2x) = log3144 Remove parenthesis around (2x) 18g3lox3 + -1g3lo * 2x = log3144 Reorder the terms for easier multiplication: 18g3lox3 + -1 * 2g3lo * x = log3144 Multiply -1 * 2 18g3lox3 + -2g3lo * x = log3144 Multiply g3lo * x 18g3lox3 + -2g3lox = log3144 Reorder the terms: -2g3lox + 18g3lox3 = log3144 Solving -2g3lox + 18g3lox3 = g3144lo Solving for variable 'g'. Combine like terms: g3144lo + -1g3144lo = 0 -2g3lox + 18g3lox3 + -1g3144lo = 0 Factor out the Greatest Common Factor (GCF), 'g3lo'. g3lo(-2x + 18x3 + -1g3141) = 0Subproblem 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 '(-2x + 18x3 + -1g3141)' equal to zero and attempt to solve: Simplifying -2x + 18x3 + -1g3141 = 0 Reorder the terms: -1g3141 + -2x + 18x3 = 0 Solving -1g3141 + -2x + 18x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '2x' to each side of the equation. -1g3141 + -2x + 2x + 18x3 = 0 + 2x Combine like terms: -2x + 2x = 0 -1g3141 + 0 + 18x3 = 0 + 2x -1g3141 + 18x3 = 0 + 2x Remove the zero: -1g3141 + 18x3 = 2x Add '-18x3' to each side of the equation. -1g3141 + 18x3 + -18x3 = 2x + -18x3 Combine like terms: 18x3 + -18x3 = 0 -1g3141 + 0 = 2x + -18x3 -1g3141 = 2x + -18x3 Divide each side by '-1'. g3141 = -2x + 18x3 Simplifying g3141 = -2x + 18x3 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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