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Simplifying Log[2](3x) + Log[2](4x) = Log[2](21) Remove parenthesis around (3x) goL * 2 * 3x + Log[2](4x) = Log[2](21) Reorder the terms for easier multiplication: 2 * 3goL * x + Log[2](4x) = Log[2](21) Multiply 2 * 3 6goL * x + Log[2](4x) = Log[2](21) Multiply goL * x 6goxL + Log[2](4x) = Log[2](21) Remove parenthesis around (4x) 6goxL + goL * 2 * 4x = Log[2](21) Reorder the terms for easier multiplication: 6goxL + 2 * 4goL * x = Log[2](21) Multiply 2 * 4 6goxL + 8goL * x = Log[2](21) Multiply goL * x 6goxL + 8goxL = Log[2](21) Combine like terms: 6goxL + 8goxL = 14goxL 14goxL = Log[2](21) Reorder the terms for easier multiplication: 14goxL = 2 * 21goL Multiply 2 * 21 14goxL = 42goL Solving 14goxL = 42goL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-42goL' to each side of the equation. -42goL + 14goxL = 42goL + -42goL Combine like terms: 42goL + -42goL = 0 -42goL + 14goxL = 0 Factor out the Greatest Common Factor (GCF), '14goL'. 14goL(-3 + x) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -1x 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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