Logs!
Simplify the expression: log28
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: 82x=8x+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 decrease by 40% each hour, how many bacteria remain after 8 hours. Round to the nearest whole number.
What is 50 bacteria.
Solve: 25x-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 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: e2x=ex+4
What is x=4?
Solve: ln x = 4 Round your answer to two decimal places.
What is x= 54.60 ?
Rewrite the log in exponential form: log5 (3x) + log5 (12) = 4
What is 54 = 36x
Is the function y= .7x growth or decay and why?
What is decay because the growth factor is less than 1?
Mr. Strebler takes a job that has a starting pay of $52,350. If he gets a 4% raise every year, how much will he make per year after 15 years? Round to two decimal places.
What is $94,279.39
Solve: 3e3-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 ?
Condense into one log function: log(x) - log (13) + log (5) ?
What is log (5x/13??
Simplify ln e3x
What is 3x?
Mr. Strebler is saving to purchase a new home. He needs $15,000 for a down payment. If he invests $10,000 in a bank that has a 8% interest rate compounded quarterly, will he have enough money in 5 years? If not, then how much is he short?
What is no, he will not? He will be $140.53 short.
Solve: 102x+1 + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
Solve: log2 (x) + log2 (x+4) = 5
(Hint: Check the solutions)
What is x=4 (x=-8 is extraneous)?