Answer:
x ≈ 39.608
Step-by-step explanation:
Using the rule of logarithms
log[tex]x^{n}[/tex] = nlogx and lne = 1
Given
50[tex]e^{0.035x}[/tex] = 200 ( divide both sides by 50 )
[tex]e^{0.035x}[/tex] = 4 ( take the ln of both sides )
ln[tex]e^{0.035x}[/tex] = ln4 , that is
0.035xlne = ln4
0.035x = ln4 ( divide both sides by 0.035 )
x = [tex]\frac{ln4}{0.035}[/tex] ≈ 39.608 ( to 3 dec. places )
