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-9.4e^(6n)+3=0

$-9.4 e^{6 n}+3=0$

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Factor quadratics

Full solution

Q.

-9.4 e^{6 n}+3=0

Divide by $-9.4$ : Now, divide both sides by $-9.4$ to get $e^{6n}$ alone. $\newline$ $e^{6n} = \frac{-3}{-9.4}$ $\newline$ $e^{6n} = \frac{3}{9.4}$
Take natural logarithm: Next, we need to take the natural logarithm ( $\ln$ ) of both sides to solve for $6n$ . $\ln(e^{6n}) = \ln(\frac{3}{9.4})$ $6n = \ln(\frac{3}{9.4})$
Divide by $6$ : Finally, divide both sides by $6$ to solve for $n$ . $n = \frac{\ln(\frac{3}{9.4})}{6}$

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