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. McCraw deposits $2,000 in a bank account. How much money will she have if she has an interest rate of 6.5%, and it is calculated continuously for three years? Round your answer to 3 decimal places if necessary.
What is $2,430.622?
100
ln (x) = 4
What is x = 54.598?
100
Where was the mathematician Euler from?
What is Switzerland?
200
Evaluate the function f(x) = 6.1^(x) if x = 2.4
What is 76.699?
200
Write the logarithmic function as an exponential function.
log 1000 = 3
What is 10^(3) = 1000?
200
Ms. McCraw deposits $2,000 in a bank account. How much money will she have if it has an interest rate of 6.5%, and is calculated annually for 3 years? Round your answer to 3 decimal places if necessary.
What is $2,415.899?
200
e^(3x) = 25
What is x=1.073?
200
Pi is the ratio of a circle's circumference to its
What is diameter?
300
Describe the shifts to get from f(x) to g(x) if f(x) = 4^(x) and g(x) = 4^(x-1) - 3.
What is the graph is shifted 3 units down and 1 unit right?
300
Use properties of logarithms to expand the expression.
ln(5x^3)
What is ln5 + 3lnx?
300
Ms. McCraw 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?
300
e^(4x) = e^(x^2 +3)
What is x=1,3?
300
List 3 notations/ideas credited to Euler:
What is f(x), sigma, function, e, i
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. McCraw 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?
400
6^(x) - 28 = -8
What is x=1.672?
400
List three real-world applications of logs:
What is measuring earthquakes, measuring sound, measuring pH
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. McCraw 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.