Question

solve by using properties of logarithm round two decimal places solve for T 1) 200(1.035)^T = 4502) 5e^ (-0.4t) = 1.506

Answer 1

Given :

`200(1.035)^t=450`

let us solve for t,

didvide both sides by 200.

`\begin{gathered} (200\mleft(1.035\mright)^t)/(200)=(450)/(200) \\ 1.035^t=(9)/(4) \\ \log (1.035^t)=\log ((9)/(4)) \\ t\log (1.035)=\log ((9)/(4)) \\ t=(\log ((9)/(4)))/(\log (1.035)) \end{gathered}`