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Simplifying 6loge(x + 2) = 30 Reorder the terms: 6eglo(2 + x) = 30 (2 * 6eglo + x * 6eglo) = 30 (12eglo + 6eglox) = 30 Solving 12eglo + 6eglox = 30 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Reorder the terms: -30 + 12eglo + 6eglox = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 12eglo + 6eglox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-5 + 2eglo + eglox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + 2eglo + eglox)' equal to zero and attempt to solve: Simplifying -5 + 2eglo + eglox = 0 Solving -5 + 2eglo + eglox = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2eglo + 5 + eglox = 0 + 5 Reorder the terms: -5 + 5 + 2eglo + eglox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2eglo + eglox = 0 + 5 2eglo + eglox = 0 + 5 Combine like terms: 0 + 5 = 5 2eglo + eglox = 5 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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