Chapter 1.

1.1 Problem Statement

{3,7,9}

{2,4,6,8}

round(100/$a,2)

round((1/$b)*log(100/$a),2)

Solve for the unknown, t.

1.2 Step 1

Question Sequence

Question 1.1

$a·e^$b·t = 100

e^$b·t = SFgqQUkJGdg=

(Round to two decimal places.)

Incorrect

Correct

Question 1.2

Recall that log_b(b^x) = 8z8gbl4D5V6iK9Xg for any real x and any positive constant base b ≠ 1 and recall that logarithms with base e, log_e x, are called natural logarithms denoted by ln(x).

Incorrect

Correct

1.3 Step 2

Question Sequence

Question 1.3

Next we take the natural logarithm of each side of the equation.

e^$b·t = $c

ln(e^$b·t) = ln($c)

Using the properties recalled in Step 1, ln(e^$b·t) = log_e(e^$b·^t) = iSba6t70dtA=·t.

Incorrect

Correct

1.4 Step 3

Question Sequence

Question 1.4

Substituting ln(e^$b·t) = $b·t, solve for t.

e^$b·t = $c

ln(e^$b·t) = ln($c)

$b·t = ln($c)

t = qjqZz1N+poo=

(Round to two decimal places.)

Incorrect

Correct