Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how many bacteria will there be in 5 hours?
Round to the nearest whole number.
What is 9,155 bacteria?
100
Solve:
8^(2x)=8^(x+7)
What is x=7?
100
Solve:
log x = 3
What is 1000?
200
Write the equation log (base 3) 729 = 6
in exponential form.
What is 3^6=729 ?
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?
What is 3 hours?
200
Solve:
25^(x-4)=5^(3x+1)
What is x=-9 ?
200
log (base 3) x = 5
What is x = 243 ?
300
Write the equation log 1000 = 3 in exponential form.
What is 10^3=1000 ?
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300
You are investing $1500 at 5.2% compounded continuously. How much money will you have in 12 years?
Round your answer to 2 decimal places.
What is $2,799.57?
300
Solve:
e^(2x)=e^(x+4)
What is x=4?
300
Solve:
ln x = 4
Round your answer to two decimal places.
What is x= 54.60 ?
400
What is the expanded form of log(base9) (2x^3/3)?
What is log(base 9) 2 + 3log(base 9) x - log(base 9) 3?
400
Is the graph y= (7/10)^x increasing or decreasing?
What is decreasing ?
400
How much money will you have in 8 years if you invest $4000 at 3.5% compounded quarterly?
Round your answer to 2 decimal places.
What is $5,286.08 ?
400
Solve:
3e^(3 - x)= 15
Round your answer to two decimal places.
What is x= 1.39 ?
400
Solve:
3 ln x - 7 = 4
Round your answer to two decimal places.
What is x= 39.12 ?
500
Use log (base 3) 5 = 1.46 and log (base 3) 7=1.77 to approximate the following
log (base 3) 21
What is x= 2.77?
500
Simplify ln e ^(3x)
What is 3x?
500
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the intensity of an earthquake with a Richter scale of 7.567
Round your answer to four decimal places.
What is 36,897,759.8570?
500
Solve:
10^(2x+1) + 2 = 4
Round your answer to two decimal places.