Zoe Oneal

2021-06-30

$5{e}^{0.2}x=7$

Sally Cresswell

We are given: $5{e}^{0.2}x=7$
Divide both sides by 5: ${e}^{0.2}x=1.4$
Take the natural logarithm of both sides: ${\mathrm{ln}e}^{0.2}x=\mathrm{ln}1.4$
Use the rule: ${\mathrm{ln}e}^{x}=x$ $0.2=\mathrm{ln}1.4$
Divide both sides by 0.2: $x=\frac{\mathrm{ln}1.4}{0.2}\sim 0.477$

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