`1000e^(-4x) = 75` Solve the exponential equation algebraically. Approximate the result to three decimal places.
Divide both sides by 1000
Take the ln of both sides and bring down the exponent
To solve equations, you need to isolate the variable.
Divide both sides by 1000 (you need to do the same thing on both sides)
Use a ln because you can use its' properties to bring down the x so you can solve for it.
and `xlna=lnb `
`lne=1 ` , so simplifies to,
Divide both sides by -4 and simplify,