Logarithms
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 3,000 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. A(t) = P(1+r)t
What is 9,155 bacteria?
Solve: 82x=8(x+7)
What is x=7?
Solve: ln x = 7 (round to nearest tenths)
What is 1096.6?
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? A(t) = P(1+r)t
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: e2x=e(x+4)
What is x=4?
Solve: ln x = 4 Round your answer to two decimal places.
What is x= 54.60 ?
Using {-2 through 2}, the graph of f(x) = 6 log(32) will have a constant value of... ?
What is x=9.0308?
Is the graph y= .7x increasing or decreasing?
It is decreasing
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 ln x - 7 = 4 Round your answer to two decimal places.
What is x= 39.12 ?
Using {-5 through 3}, the graph of f(x)= log(6) +1 results in the constant?
What is x= 1.7781?
Simplify ln e3x
What is 3x?
Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the intensity of an earthquake with a Richter scale of 7.567 Round your answer to two decimal places.
What is 36,897,759.86?
Solve: 10(2x+1) + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
Solve: 8 ln e2x = -64
x = -4 ?