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.
Use the equation B(t) = 3000(1.25)t.
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 increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?
Use the equation B(t) = 3000(1.25)t.
What is 3 hours?
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 ?
What is the asymptote of the graph of
f(x) = log(x - 1) ?
What is x=1 ?
Is the graph y= (.7)x growing or decaying, and is it a function?
What is decaying and yes, a function?
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: 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 ?
What is the asymptote of the graph of
f(x)= log(x + 2) - 1?
What is x= -2 ?
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 four decimal places.
What is 36,897,759.8570?
Solve: 102x+1 + 2 = 4 Round your answer to two decimal places.
What is x = -0.35 ?
Solve: logx(16) = 2
What is x=4 and x = -4 ?