e^8x=31e^7x

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Solution for e^8x=31e^7x equation:


Simplifying
e8x = 31e7x

Solving
e8x = 31e7x

Solving for variable 'e'.

Reorder the terms:
-31e7x + e8x = 31e7x + -31e7x

Combine like terms: 31e7x + -31e7x = 0
-31e7x + e8x = 0

Factor out the Greatest Common Factor (GCF), 'e7x'.
e7x(-31 + e) = 0

Subproblem 1

Set the factor 'e7x' equal to zero and attempt to solve: Simplifying e7x = 0 Solving e7x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e7x = 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 '(-31 + e)' equal to zero and attempt to solve: Simplifying -31 + e = 0 Solving -31 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + e = 0 + 31 Combine like terms: -31 + 31 = 0 0 + e = 0 + 31 e = 0 + 31 Combine like terms: 0 + 31 = 31 e = 31 Simplifying e = 31

Solution

e = {31}

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