Question

94. Solve each equation. Express your answer as a logarithm, and then approximate the solution to the nearest thousandth.

d. 300 e 0.4t = 900

Answer 1

Answer: t = ln 3/0.4 (answer as a logarithm)

t = 2.747 (answer to the nearest thousandth)

Explanation:

300
`e^(0.4t)`= 900

`e^(0.4t)`= 900/300

`e^(0.4t)`= 3

ln (
`e^(0.4t)`) = ln 3

0.4t * ln e = ln 3

0.4t = ln 3

t = ln 3/0.4 (answer as a logarithm)

t = 2.747 (answer to the nearest thousandth)