8(e^8r)=83.7

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Solution for 8(e^8r)=83.7 equation:


Simplifying
8(e8r) = 83.7

Solving
8e8r = 83.7

Solving for variable 'e'.

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

Divide each side by '8r'.
e8 = 10.4625r-1

Simplifying
e8 = 10.4625r-1

Combine like terms: 10.4625r-1 + -10.4625r-1 = 0.0000
e8 + -10.4625r-1 = 0.0000

Factor out the Greatest Common Factor (GCF), 'r-1'.
r-1(e8r + -10.4625) = 0.0000

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 + -10.4625)' equal to zero and attempt to solve: Simplifying e8r + -10.4625 = 0 Reorder the terms: -10.4625 + e8r = 0 Solving -10.4625 + e8r = 0 Move all terms containing e to the left, all other terms to the right. Add '10.4625' to each side of the equation. -10.4625 + 10.4625 + e8r = 0 + 10.4625 Combine like terms: -10.4625 + 10.4625 = 0.0000 0.0000 + e8r = 0 + 10.4625 e8r = 0 + 10.4625 Combine like terms: 0 + 10.4625 = 10.4625 e8r = 10.4625 Divide each side by 'r'. e8 = 10.4625r-1 Simplifying e8 = 10.4625r-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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