Natural Base Exponential Functions Applications

Person with the most pets has to solve the problem. If there is a tie - paper, rock, scissors.

Solve:

• A

• B

• C

• D

The initial value of an exponential function is 1.8. The rate of growth is 4.2%. Which models the value of the function, y, over time t?

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Rewrite in exponential form:
ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Which of the following is the value of x given;
e^(x + 6) = 12

• x = ln 6

• x = -6 + ln12

• x = ln72

• x = ln(-2)

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

ln 7.389 = x

• x = 2

• x = 3

• x = 4

• x = 1

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually.

Which exponential equation can be used to find how much money Karla will earn in 15 years?

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Solve the following equation for x.  Round your solution to two decimal places.
ln2x - ln41 = 2

• x = 0.36

• x = 151.48

• x = 41

• None of these are solutions