Write the exponential equation 45= 1,024 in logarithmic form.
What is log41,024 = 5 ?
100
(GC) 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?
100
Solve:
8(2x)=8(x+7)
What is x=7 ?
100
Solve:
log4x = 3
What is x= 64 ?
200
Write the equation log3729 = 6
in exponential form.
What is 36=729 ?
200
Simplify 5(x+3)*5(4x-9)
What is 5(5x-6) ?
200
(GC) 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 68212 bacteria?
What is 14 hours?
200
Solve:
25(x-4)=5(3x+1)
What is x=-9 ?
200
log3(3x+7) = 5
What is x = 78.67 ?
300
Simplify log 10000
What is 4?
300
What is the asymptote of f(x)= 0.6(x) - 3
What is y=-3 ?
300
(GC) The number of tigers in Africa decreases by 3.6% each year. If there are 370 wild tigers today, find how many there were in 2002.
Round your answer to the nearest whole number.
What is 618 tigers?
300
Solve:
e(2x)=e(x+4)
What is x=4 ?
300
Solve:
ln x + ln(x-2) = ln(3)
Hint: make sure you check your answers!
What is x=3?
x=-1 is extraneous!
400
What is the asymptote of the graph of
f(x) = log(x - 1) ?
What is x=1 ?
400
Is the graph y= .7x increasing or decreasing, and is it a function?
What is decreasing and yes, it is a function?
400
(GC) A savings account compounds continuously with a rate of 4% and has an initial deposit of $1000. Find how long it will take to double the money if no further deposits are made.
Round to two decimal places.
What is 17.33 years?
400
Solve:
3e(3-x)= 15
Round your answer to two decimal places.
What is x= 1.39 ?
400
Solve:
3 ln x - 5 = 4
Exact answer only!
What is x= e3 ?
500
What is the domain and range of the graph of
f(x)= log(x + 2) -1 ?
What is domain= x>-2 and range = all real numbers?
500
Simplify ln e (3x)
What is 3x ?
500
(GC) 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?
500
Solve:
9(2x+1) + 2 = 4
Round your answer to two decimal places.