62=7e^8t

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Solution for 62=7e^8t equation:


Simplifying
62 = 7e8t

Solving
62 = 7e8t

Solving for variable 'e'.

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

Add '-7e8t' to each side of the equation.
62 + -7e8t = 7e8t + -7e8t

Combine like terms: 7e8t + -7e8t = 0
62 + -7e8t = 0

Add '-62' to each side of the equation.
62 + -62 + -7e8t = 0 + -62

Combine like terms: 62 + -62 = 0
0 + -7e8t = 0 + -62
-7e8t = 0 + -62

Combine like terms: 0 + -62 = -62
-7e8t = -62

Divide each side by '-7t'.
e8 = 8.857142857t-1

Simplifying
e8 = 8.857142857t-1

Combine like terms: 8.857142857t-1 + -8.857142857t-1 = 0.000000000
e8 + -8.857142857t-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 't-1'.
t-1(e8t + -8.857142857) = 0.000000000

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 '(e8t + -8.857142857)' equal to zero and attempt to solve: Simplifying e8t + -8.857142857 = 0 Reorder the terms: -8.857142857 + e8t = 0 Solving -8.857142857 + e8t = 0 Move all terms containing e to the left, all other terms to the right. Add '8.857142857' to each side of the equation. -8.857142857 + 8.857142857 + e8t = 0 + 8.857142857 Combine like terms: -8.857142857 + 8.857142857 = 0.000000000 0.000000000 + e8t = 0 + 8.857142857 e8t = 0 + 8.857142857 Combine like terms: 0 + 8.857142857 = 8.857142857 e8t = 8.857142857 Divide each side by 't'. e8 = 8.857142857t-1 Simplifying e8 = 8.857142857t-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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