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: 82x=8x+7
What is x=7?
Solve: log(x) = 3
What is 1000?
What is the asymptote of the graph of f(x) = log(x - 1) ?
What is x=1 ?
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: 25x-4=53x+1
What is x=-9 ?
log3(x) = 5
What is x = 243 ?
What is the asymptote of the graph of f(x)= log(3x + 2) -1 ?
What is x= -2/3 ?
Write the exponential equation (1/2)-3=8 in logarithmic form.
What is log1/2(8)= -3
A new car is bought for $20,000. If this brand and make of a car typically depreciates by 7.41%, how many years will it take for the value of the car to be half of its original value?
what is 9 years?
Solve: e2x=ex+4
What is x=4?
Solve: ln(x) = 4 Round your answer to two decimal places.
What is x= 54.60 ?
Use properties of logarithms to expand the logarithm log4(5x2/3)
What is log4(5)+2log4(x)-log4(3)?
Write the equation log(1000) = 3 in exponential form.
What is 103=1000 ?
A house was purchased 20 years ago for $150,000. The house is now worth $375,000. Assuming a steady rate of growth, what was the yearly rate of appreciation? Give your answer as a percentage with 3 decimal places.
What is 4.688% ?
Solve: 3e3-x= 15 Round your answer to two decimal places.
What is x= 1.39 ?
Solve: 3ln(x)-7= 4 Round your answer to two decimal places.
What is x= 39.12 ?
Use properties of logarithms to condense and simplify the logarithms log3(6)+2log3(2)-log3(8)
What is 1 ?
Simplify ln(e3x )
What is 3x?
Use the formula y = ae-0.00012t where a is the initial amount of Carbon-14. How old is a skeleton that has 90% of its Carbon – 14 remaining?
What is 878 years?
Solve: 102x+1+ 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
Solve for x:
ln(x+6)+ln(x)=ln(7)
What is x=1?