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.

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