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:
5 + log(base 2) a = 3
What is a = 1/4?
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:
7 • 9 ^(2p - 4) + 3 = 45
What is p = 0.82 ?
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
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 30,000,000.
Round your answer to four decimal places.
What is 7.4771?
300
Solve:
3^(2x)=3^(x+4)
What is x=4?
300
Solve:
log(base 16) x = 4
What is x= 65,536 ?
400
Evaluate log (base 36) of 6
What is x=.5 ?
400
Is the graph y= .7^x increasing or decreasing and what is the asymptote?
What is decreasing and y = 0?
400
The value of a new car purchased for $20,000 decreases by 10% per year. Write an exponential decay model for the value of the car. Use the model to estimate the value after 4 years.
What is y = 20000(.90)^x ?
What is $13,122?
400
Solve:
3^x = 1/27
What is x= -3 ?
400
Solve:
4log(base 6)(x) - 7 = -3
What is x= 6 ?
500
Condense to a single logarithm: 2log a + 3log b - log c
What is a^2b^3/ c ?
500
In the function f(x) = 5(1.05)^x + 8, is this growth or decay? Find the growth/decay rate (%) and the y-intercept.
What is growth? What is 5%? and What is (0, 13)
500
Dennis just inherited $10,000 from a distant relative who passed away. After spending $2000 on sporting equipment, he puts the rest into a savings account that earns 4.5% interest compounded monthly. How much money will he have after 5 years?
What is $112,219.26 ?
500
Solve:
10^(2x+1) + 2 = 4
Round your answer to two decimal places.
What is x = -0.35 ?
500
Solve: log(base 3)x + log(base 3) 2x + 7 = 2
What is x = 1? x = -9/2 or -4.5 is an extraneous answer