Question

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

300e - 0.2t = 700

Answer 1

`t=-5ln(7)/(3)`

Explanation:

`300e^(- 0.2t)= 700`

Divide both sides by 300

`e^(-0.2t)=(700)/(300)`

`e^(-0.2t)=(7)/(3)`

take ln on both sides

`ln e^(-0.2t)=ln (7)/(3)`

`-0.2t ln e=ln(7)/(3)`

`-0.2t=ln(7)/(3)`

divide both sides by =0.2

`t=-5ln(7)/(3)`