Logs!
Simplify the expression: log (base 2) 8
3
Write the exponential equation 45= 1,024 in logarithmic form.
log (base 4) 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.
9,155 bacteria
Find the inverse and solve for y. y = 82x+1
Solve: log x = 3
1000
Write the equation log (base 3) 729 = 6 in exponential form.
36=729
Write the exponential equation 271/3 = 3 in logarithmic form.
log (base 27) 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?
3 hours
Find the inverse and solve for y:
y = log (base 3) (4x +1)
y = (3x-1)/4
log (base 3) x = 5
x = 243
Write the equation log 1000 = 3 in exponential form.
103=1000
Write the exponential equation (1/2)-3=8 in logarithmic form.
log (base 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 Richter scale measurement of an earthquake with intensity 30,000,000. Round your answer to four decimal places.
7.4771
Find the inverse and solve for y:
y = 4x+1
log (base 4) x - 1
Solve: log x = 4
x= 10000
What is the asymptote of the graph of f(x) = log(x - 1) ?
x = 1
Is the graph y= .7^x increasing or decreasing, and is it a function?
decreasing and yes
Find the inverse and solve for y:
y = 3log (base 5) (2x)-1
y = 0.5(5(x+1)/3)
Solve: 3log x - 7 = 4 Round your answer to two decimal places.
What is x= 4641.59 ?
What is the asymptote of the graph of f(x)= log(x + 2) -1 ?
x = -2
Simplify log 103x
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.
36,897,759.86
Find the inverse and solve for y: y = 102x+1 + 2
y = 0.5(log(x-2))-1)
Solve: log (base 12) (x2 - x) =1
x = 4