Logs!
Simplify the expression: log_2 8
What is 3?
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log_4 1,024 = 5 ?
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: 8^(2x)=8^(x+7)
What is x=7 ?
Solve: log x = 3
What is 1000?
Write the equation log_3 729=6 in exponential form.
What is 3^6=729 ?
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log_{27}3 = 1/3 ?
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 35,000,000. Round your answer to four decimal places.
What is 7.5441?
Solve: e^(2x)=e^(x+4)
What is x=4 ?
Solve: log_3 x = 5
What is x=243 ?
Write the equation log 1000=3 in exponential form.
What is 10^3=1000 ?
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log_{1/2}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 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: 25^(x-4)=5^(3x+1)
What is x=-9 ?
Solve: ln x = 4 Round your answer to two decimal places.
What is x=54.60 ?
This is the asymptote of the graph of f(x) = log(x - 1).
What is x=1 ?
This is the domain and the range of f(x)= 0.7^x.
What is all real numbers for the domain and all positive numbers for the range?
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: 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 ?
This is the asymptote of the graph of f(x)= log(x + 2) -1.
What is x=-2 ?
This is the asymptote of the graph of f(x)=3-e ^(x-1)
What is y=3 ?
Solve: 10^(2x+1) + 2 = 4 Round your answer to two decimal places.
What is x=-0.35 ?
Solve: log_3 (x^2-7)=2
Hint: two answers
What is
x=4 and x=-4 ?