Applying Exponential Functions

What is the percent of growth or decay in the function?

• Growth 25%

• Decay 25%

• Growth 125%

• Decay 125%

• This function is growth and NOT reflected

• This function is decay and NOT reflected

• This function is growth and reflected

• This function is decay and reflected

Solve each equation. Select the closest answer.

Write 2³= 8 in logarithmic form.

(Your answer should start with log.)

Mathematical Equivalence

ON

Converting exponential to logarithmic form: Convert the exponential equation 5^2 = 25 to logarithmic form

• log2(25) = 5

• log5(2) = 25

• log25(5) = 2

• log5(25) = 2

Rewrite in logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• log₂ 36 = 6

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32

• 2³² = 5

• 5² = 32

• 32² = 5

Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. How many years would it take to have $16,000 in the account?

• 13.3 yr

• 12.3 yr

• 14.3 yr

• 2 yr

Ainsley wants to double her money. She put $10,000 in a bank account that pays 3% compounded continuously. How long will it take her to double her money? (Round to the nearest tenth.)

• 131 yrs

• 231 yrs

• 13.1 yrs

• 23.1 yrs

A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?

• 28

• 175

• 54,675

• 3,200