9e^8x=1728

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Solution for 9e^8x=1728 equation:


Simplifying
9e8x = 1728

Solving
9e8x = 1728

Solving for variable 'e'.

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

Divide each side by '9x'.
e8 = 192x-1

Simplifying
e8 = 192x-1

Combine like terms: 192x-1 + -192x-1 = 0
e8 + -192x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e8x + -192) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e8x + -192)' equal to zero and attempt to solve: Simplifying e8x + -192 = 0 Reorder the terms: -192 + e8x = 0 Solving -192 + e8x = 0 Move all terms containing e to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + e8x = 0 + 192 Combine like terms: -192 + 192 = 0 0 + e8x = 0 + 192 e8x = 0 + 192 Combine like terms: 0 + 192 = 192 e8x = 192 Divide each side by 'x'. e8 = 192x-1 Simplifying e8 = 192x-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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