4e^7x=7e^9x

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Solution for 4e^7x=7e^9x equation:


Simplifying
4e7x = 7e9x

Solving
4e7x = 7e9x

Solving for variable 'e'.

Combine like terms: 7e9x + -7e9x = 0
4e7x + -7e9x = 0

Factor out the Greatest Common Factor (GCF), 'e7x'.
e7x(4 + -7e2) = 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 '(4 + -7e2)' equal to zero and attempt to solve: Simplifying 4 + -7e2 = 0 Solving 4 + -7e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7e2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7e2 = 0 + -4 -7e2 = 0 + -4 Combine like terms: 0 + -4 = -4 -7e2 = -4 Divide each side by '-7'. e2 = 0.5714285714 Simplifying e2 = 0.5714285714 Take the square root of each side: e = {-0.755928946, 0.755928946}

Solution

e = {-0.755928946, 0.755928946}

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