Homework SourseA Find the exact solution of the exponential equation in ter
A) Find the exact solution of the exponential equation in terms of logarithms.
B) use a calculator to find an approximation to the solution rounded to six decimal places.
50/(1+e^-x) = 4
A) Find the exact solution of the exponential equation in terms of logarithms.
B) use a calculator to find an approximation to the solution rounded to six decimal places.
50/(1+e^-x) = 4
37,--50 4 Solution
50 / ( 1 + e^-x ) = 4
multiplying both sides by ( 1 + e^-x )
50 = 4 ( 1 + e^-x)
50 = 4 + 4 e^ -x
subtracting both sides by 4
46 = 4 e^-x
46 / 4 = e^-x
taking natural log on both sides
ln ( 46 / 4) = -x
x = -2.442
