# Math question ?

e^-54 - 1 = -54e^(-6c)

Solve for c?

### 1 Answer

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- 8 months ago
e^(-54) - 1 = -54 * e^(-6c)

1 - e^(-54) = 54 * e^(-6c)

ln(1 - e^(-54)) = ln(54) + (-6c)

6c = ln(54) - ln(1 - e^(-54))

6c = ln(54 / (1 - e^(-54)))

6c = ln(54 / ((e^(54) - 1) / e^(54)))

6c = ln(54 * e^(54) / (e^(54) - 1))

c = (1/6) * ln(54 * e^(54) / (e^(54) - 1))

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