Applications of Logarithms and Exponential

Calculate [H⁺] for pH = 8.6

pH = -log[H⁺]

• 184x10^-6

• 10^8.6

• 2.51x10^-9

Which of the 4 choices below is FALSE:

• P(t) is the quantity at time t

• P₀ is the initial quantity

• 0.04 is the exponential growth rate

• 0.04 is the exponential decay rate

How many years will it take $3500 to triple if it is invested at 5.64% compounded continuously? Round to the nearest whole year.

t = _____ years

To solve 24000 = 12000e^0.03t , what would the next step be?

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You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

• 12.375 Years

• 177.073 Years

• 0.175 Years

• 17.509 Years

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

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

Which of the following is an exponential decay model?

• y = 3 * (1/2)^x

• y = 1/2 * (3)^x

• y = -2 * (2)^x

• y = -3 * (3/2)^x

• x = 2

• x = -2

• y = 2

• y = -2