Use the change of base formula to change the logarithmic function to a common log and then to a natural log.
log(base 6)13
What is (log 13)/(log 6) and (ln 13)/(ln 6)?
100
Ms. Scarbrough deposits $2,000 in a bank account. How long will it take her money to double at an interest rate of 6.5%, if calculated continuously? Round your answer to 3 decimal places if necessary.
What is 10.664 years?
100
ln (x) = 4
What is x = 54.598?
100
Ms. Scarbrough's dog's name.
What is Snickers?
200
Describe the shifts to get from f(x) to g(x) if f(x) = 4^(x) and g(x) = 4^(x) - 3.
What is the graph is shifted 3 units down?
200
Write the logarithmic function as an exponential function.
log 1000 = 3
What is 10^(3) = 1000?
200
Ms. Scarbrough deposits $2,000 in a bank account. How long will it take her money to double at an interest rate of 6.5%, if calculated annually? Round your answer to 3 decimal places if necessary.
What is 11.007 years?
200
e^(3x) = 25
What is x=1.073?
200
Ms. Scarbrough's brothers' names. (200 points for each correct answer.)
What is Nathan and Zach?
300
Describe the shifts to get from f(x) to g(x) if f(x) = 4^(x) and g(x) = 4^(x -1) + 2.
What is the graph is shifted one unit right and two units up?
300
Use properties of logarithms to expand the expression.
ln (5x^3)
What is ln 5 + 3 ln x?
300
Ms. Scarbrough deposits $2,000 in a bank account. How long will it take her money to double at an interest rate of 6.5%, if calculated semi-annually? Round your answer to 3 decimal places if necessary.
What is 10.836 years?
300
e^(4x) = e^(x^2 +3)
What is x=1,3?
300
The three jersey numbers Ms. Scarbrough has been in her lifetime. (300 points for each correct answer.)
What is 12, 14, and 17?
400
Write the exponential function as a logarithmic function.
2^(4) = 16
What is log(base 2)16 = 4?
400
Use properties of logarithms to condense the expression.
2[log x - log y + log z]
What is log ((xz)/y)^2?
400
Ms. Scarbrough deposits $2,000 in a bank account. How long will it take her money to double at an interest rate of 6.5%, if calculated monthly? Round your answer to 3 decimal places if necessary.
What is 10.693 years?
400
6^(x) - 28 = -8
What is x=1.672?
400
The four sports Ms. Scarbrough played in high school. (400 points for each correct answer.)
What is golf, basketball, softball, and hockey?
500
Write the exponential function as a logarithmic function.
e^(0) = 1
What is ln 1 = 0?
500
Find the domain, x-intercept, and vertical asymptote of the logarithmic function.
f(x) = log (base 2) (x + 3)
What is domain (-3, infinity), x-intercept (-2, 0), and vertical asymptote at x=-3?
500
Ms. Scarbrough deposits $2,000 in a bank account. How long will it take her money to double at an interest rate of 6.5%, if calculated daily? Round your answer to 3 decimal places if necessary.
What is 10.665 years?
500
e^(2x) - 6e^(x) + 8 = 0
What is x=0.693, 1.386?
500
The five states Ms. Scarbrough went to school in. (500 points for each correct answer.)
What is Alabama, Pennsylvania, Illinois, Michigan, and Kansas?