Logs!
Simplify the expression: log2 8
What is 3?
Write the exponential equation 45= 1,024 in logarithmic form.
What is log4 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 36=729 ?
Write the exponential equation 271/3 = 3 in logarithmic form.
What is log27 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)=5(3x+1)
What is x=-9 ?
log3 x = 5
What is x = 243 ?
Write the equation log 1000 = 3 in exponential form.
What is 103=1000 ?
Write the exponential equation (1/2)3 =8 in logarithmic form.
What is log1/2 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 ?
Rewrite ln 7 in exponential form
What is ex =7?
Rewrite in log form: (x5)(x7) = 20
What is Logx20 = 12
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 35,000,000. Round your answer to four decimal places.
What is 7.5441 ?
Solve: 3e(3 - x)= 15 Round your answer to two decimal places.
What is x= 1.39 ?
Solve: 3 lnx - 7 = 4 Round your answer to two decimal places.
What is x= 39.12 ?
Evaluate Log4 12
What is 1.792 ?
Convert to a logarithmic expression: e3x = 5
What is ln 5 = 3x
You invest $18,000 at a rate of 13.6%, compounded quarterly. How long will it take for the account to be worth $50,000?
What is around 7.6 years?
Solve: 10(2x+1) + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
Solve: -6 log (x-3) = -24
What is x= 10,003?