Logs!
Simplify the expression: log28
What is 3?
Write the exponential equation 45= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
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?
Solve: 8(2x)=8(x+7)
What is x=7?
Solve: log x = 3
What is 1000?
Write the equation log3 729 = 6 in exponential form.
What is 3^6=729 ?
Write the exponential equation 27 (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
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?
Solve: 25(x-4)=53x+1
What is x=-9 ?
log3 x = 5
What is x = 243 ?
Write the equation log 1000 = 3 in exponential form.
What is 10^3=1000 ?
Write the exponential equation (1/2)-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
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?
Solve: e(2x)=e(x+4)
What is x=4?
Solve: ln x = 4 Round your answer to two decimal places.
What is x= 54.60 ?
What is the asymptote of the graph of
f(x) = log(x - 1) ?
What is x=1 ?
Is the graph y= .7x increasing or decreasing, and is it a function?
What is decreasing and yes, a function?
Approximately how long will it take $4000 to double at an annual interest rate of 5.25% compounded monthly?
13.23
Solve: 3e(3 - x)= 15 Round your answer to two decimal places.
What is x= 1.39 ?
Solve: 3 ln (x - 7) = 4 Round your answer to two decimal places.
What is x= 39.12 ?
What is the asymptote of the graph of
f(x)= log(x + 2) -1 ?
What is x= -2 ?
Simplify ln e (3x)
What is 3x?
The half life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 500g. Write an exponential function that models the decay of this material. Find how much radio active material remains after 8 days. Round your answer to the nearest hundredths.
What is y=500(1/2)1/85t
486.42
Solve: 10(2x+1) + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
log(3x+8)=3
Round to the nearest tenth
what is 330.7