Problem Statement

{3,7,9}
{2,4,6,8}
round(100/7,2)
round((1/6)*log(100/7),2)

Solve for the unkonwn, t.

 
Step 1

Question Sequence

Question 1

7·e6·t = 100

e6·t =

(Rounded to two decimal places.)

Incorrect
Correct

Question 2

Recall that logb(bx) = for any real x and any positive constant base b ≠ 1 and recall that logarithms with base e, loge x, are called natural logarithms denoted by ln(x).

Incorrect
Correct

 
Step 2

Question Sequence

Question 3

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

e6·t = 14.29

ln(e6·t) = ln(14.29)

Using the properties recalled in Step 1, ln(e6·t) = loge(e6·t) = ·t.

Incorrect
Correct

 
Step 4

Question Sequence

Question 4

Substituting ln(e6·t) = 6·t, solve for t.

e6·t = 14.29

ln(e6·t) = ln(14.29)

6·t = ln(14.29)

t =

Incorrect
Correct