Answer:
[tex]x=-\frac{ln(0.075)}{0.5}[/tex]
Step-by-step explanation:
[tex]e^{-0.5x}= 0.075[/tex]
To remove the base 'e' we take ln on both sides
[tex]e^{-0.5x}= 0.075[/tex]
[tex]ln(e^{-0.5x})=ln(0.075)[/tex]
As per log property we move the exponent before ln
[tex]-0.5xln(e)=ln(0.075)[/tex]
ln(e)=1
[tex]-0.5x=ln(0.075)[/tex]
divide by -0.5 on both sides
[tex]x=-\frac{ln(0.075)}{0.5}[/tex]
