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Simplifying e4xln(3x) + -5e4x = 0 Remove parenthesis around (3x) e4lnx * 3x + -5e4x = 0 Reorder the terms for easier multiplication: 3e4lnx * x + -5e4x = 0 Multiply e4lnx * x 3e4lnx2 + -5e4x = 0 Solving 3e4lnx2 + -5e4x = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'e4x'. e4x(3lnx + -5) = 0Subproblem 1
Set the factor 'e4x' equal to zero and attempt to solve: Simplifying e4x = 0 Solving e4x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4x = 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 '(3lnx + -5)' equal to zero and attempt to solve: Simplifying 3lnx + -5 = 0 Reorder the terms: -5 + 3lnx = 0 Solving -5 + 3lnx = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3lnx = 0 + 5 3lnx = 0 + 5 Combine like terms: 0 + 5 = 5 3lnx = 5 Add '-3lnx' to each side of the equation. 3lnx + -3lnx = 5 + -3lnx Combine like terms: 3lnx + -3lnx = 0 0 = 5 + -3lnx Simplifying 0 = 5 + -3lnx 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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