10=17e^2t

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Solution for 10=17e^2t equation:


Simplifying
10 = 17e2t

Solving
10 = 17e2t

Solving for variable 'e'.

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

Add '-17e2t' to each side of the equation.
10 + -17e2t = 17e2t + -17e2t

Combine like terms: 17e2t + -17e2t = 0
10 + -17e2t = 0

Add '-10' to each side of the equation.
10 + -10 + -17e2t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -17e2t = 0 + -10
-17e2t = 0 + -10

Combine like terms: 0 + -10 = -10
-17e2t = -10

Divide each side by '-17t'.
e2 = 0.5882352941t-1

Simplifying
e2 = 0.5882352941t-1

Combine like terms: 0.5882352941t-1 + -0.5882352941t-1 = 0.0000000000
e2 + -0.5882352941t-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e2t + -0.5882352941) = 0.0000000000

Subproblem 1

Set the factor 't-1' equal to zero and attempt to solve: Simplifying t-1 = 0 Solving t-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1t-1' to each side of the equation. t-1 + -1t-1 = 0 + -1t-1 Remove the zero: 0 = -1t-1 Simplifying 0 = -1t-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 '(e2t + -0.5882352941)' equal to zero and attempt to solve: Simplifying e2t + -0.5882352941 = 0 Reorder the terms: -0.5882352941 + e2t = 0 Solving -0.5882352941 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5882352941' to each side of the equation. -0.5882352941 + 0.5882352941 + e2t = 0 + 0.5882352941 Combine like terms: -0.5882352941 + 0.5882352941 = 0.0000000000 0.0000000000 + e2t = 0 + 0.5882352941 e2t = 0 + 0.5882352941 Combine like terms: 0 + 0.5882352941 = 0.5882352941 e2t = 0.5882352941 Divide each side by 't'. e2 = 0.5882352941t-1 Simplifying e2 = 0.5882352941t-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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