48=6e^4k

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Solution for 48=6e^4k equation:


Simplifying
48 = 6e4k

Solving
48 = 6e4k

Solving for variable 'e'.

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

Add '-6e4k' to each side of the equation.
48 + -6e4k = 6e4k + -6e4k

Combine like terms: 6e4k + -6e4k = 0
48 + -6e4k = 0

Add '-48' to each side of the equation.
48 + -48 + -6e4k = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -6e4k = 0 + -48
-6e4k = 0 + -48

Combine like terms: 0 + -48 = -48
-6e4k = -48

Divide each side by '-6k'.
e4 = 8k-1

Simplifying
e4 = 8k-1

Combine like terms: 8k-1 + -8k-1 = 0
e4 + -8k-1 = 0

Factor out the Greatest Common Factor (GCF), 'k-1'.
k-1(e4k + -8) = 0

Subproblem 1

Set the factor 'k-1' equal to zero and attempt to solve: Simplifying k-1 = 0 Solving k-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1k-1' to each side of the equation. k-1 + -1k-1 = 0 + -1k-1 Remove the zero: 0 = -1k-1 Simplifying 0 = -1k-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 '(e4k + -8)' equal to zero and attempt to solve: Simplifying e4k + -8 = 0 Reorder the terms: -8 + e4k = 0 Solving -8 + e4k = 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 + e4k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e4k = 0 + 8 e4k = 0 + 8 Combine like terms: 0 + 8 = 8 e4k = 8 Divide each side by 'k'. e4 = 8k-1 Simplifying e4 = 8k-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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