1 Answer

Tanou · Answer 1 · 2023-12-23T22:23:14+0000

Question:

Step 1: Apply the exponent rule but taking ln of both sides

$\begin{gathered} e^(-5x)=7.4 \\ -5x=\ln 7.4 \end{gathered}$

Step 2:Divide both sides by -5

$\begin{gathered} -5x=\ln 7.4 \\ (-5x)/(-5)=(\ln 7.4)/(-5) \\ x=(\ln7.4)/(-5) \end{gathered}$

Hence,

The value of x is

$\begin{gathered} x=(\ln7.4)/(-5) \\ x=-4.003 \end{gathered}$

Hence,

The final answer is = -0.4003

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