3*e^8r=83.7

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Solution for 3*e^8r=83.7 equation:


Simplifying
3e8r = 83.7

Solving
3e8r = 83.7

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '3r'.
e8 = 27.9r-1

Simplifying
e8 = 27.9r-1

Combine like terms: 27.9r-1 + -27.9r-1 = 0.0
e8 + -27.9r-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e8r + -27.9) = 0.0

Subproblem 1

Set the factor 'r-1' equal to zero and attempt to solve: Simplifying r-1 = 0 Solving r-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1r-1' to each side of the equation. r-1 + -1r-1 = 0 + -1r-1 Remove the zero: 0 = -1r-1 Simplifying 0 = -1r-1 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 '(e8r + -27.9)' equal to zero and attempt to solve: Simplifying e8r + -27.9 = 0 Reorder the terms: -27.9 + e8r = 0 Solving -27.9 + e8r = 0 Move all terms containing e to the left, all other terms to the right. Add '27.9' to each side of the equation. -27.9 + 27.9 + e8r = 0 + 27.9 Combine like terms: -27.9 + 27.9 = 0.0 0.0 + e8r = 0 + 27.9 e8r = 0 + 27.9 Combine like terms: 0 + 27.9 = 27.9 e8r = 27.9 Divide each side by 'r'. e8 = 27.9r-1 Simplifying e8 = 27.9r-1 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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