5e^8t=8e^7t

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Solution for 5e^8t=8e^7t equation: 


Simplifying
5e8t = 8e7t

Solving
5e8t = 8e7t

Solving for variable 'e'.

Reorder the terms:
-8e7t + 5e8t = 8e7t + -8e7t

Combine like terms: 8e7t + -8e7t = 0
-8e7t + 5e8t = 0

Factor out the Greatest Common Factor (GCF), 'e7t'.
e7t(-8 + 5e) = 0


Subproblem 1
Set the factor 'e7t' equal to zero and attempt to solve:

Simplifying
e7t = 0

Solving
e7t = 0

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

Simplifying
e7t = 0

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 '(-8 + 5e)' equal to zero and attempt to solve:

Simplifying
-8 + 5e = 0

Solving
-8 + 5e = 0

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

Add '8' to each side of the equation.
-8 + 8 + 5e = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5e = 0 + 8
5e = 0 + 8

Combine like terms: 0 + 8 = 8
5e = 8

Divide each side by '5'.
e = 1.6

Simplifying
e = 1.6
Solution
e = {1.6}

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