Logs!
Simplify the expression: log2(8)
What is 3?
Write the exponential equation 45= 1,024 in logarithmic form.
What is log41,024 = 5 ?
250(2)12
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?
Log2156
1.32
Write the equation log3729 = 6 in exponential form.
What is 36=729 ?
Write the exponential equation 271/3 = 3 in logarithmic form
What is log273 = 1/3 ?
Write the equation (do not solve):
A wolf population starts with 100 wolves and grows by 10% each year, how many wolves will there be in 20 years?
100(1.10)20
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?
What is 3 hours?
Log421(1.05)
0.008
Write the equation log base 10 of 1000 = 3 in exponential form.
What is 103=1000 ?
Write the exponential equation (1/2)-3=8 in logarithmic form.
What is log1/28 = -3
Write the equation for the following scenario (don't solve)
You have $1000 in your bank account and get an interest of 3%/year.
1000(1.03)x
If a population increases by 5% each decade, and starts with 20,000 people, how many will be there after 15 years?
20,000(1.05)1.5 = 21,518.60
Log670
2.37
Write log5(125) in exponential form and solve for the exponent!
What is 53=125?
What is the % change if the b value is (1.025) and is it growing or decaying?
Change is 2.5% and it is growing
Write the equation for the following:
The population of Boston has been increasing by 1.2% each year since 1999. You know the current population is 680,000.
What is x(1.012)22 = 680,000
You lose 1% of your muscle mass after you turn 60. If you have 20lbs of muscle, how much will you have by the time you're 95?
20(.99)35 = 14.07lbs
Log0.5(12)
-3.58
Write log264 in exponential form and solve for the exponent
What is 26 = 64
9% decrease.
Write the equation for the following (do not solve)
You have 20,000 in student loans. If you pay 2% off each year, how much will you have left in 10 years?
20,000(0.98)10
You have 50,500 in an account that makes 5% interest each year. How much do you have after 1 month?
50,500(1.05)1/12 = 50705.74
Log1050
1.70