Evaluating Logarithms
Evaluate: log2323
log2323 = 1
This is what the "e" represents in " A = Pert ".
What is 2.71828...?
The domain of f(x) = log2x.
What is x>0?
What is (0, infinity)?
Estimate: log2(30)
What is 4.5-4.9?
These are the transformations that occur to function f(x):
g(x) = f(x+1) - 5
What is a shift LEFT 1 unit and a shift DOWN 5 units?
Evaluate: log91
log91 = 0
Based on the equation, this would be the initial amount of bacteria the population began with:
B(t) = 760e0.15(40)
What is 760 bacteria?
The asymptote equation of f(x)=log3x.
What is x=0?
Estimate: log29
What is 3.1-3.5?
This is the equation of the asymptote in this function:
g(x) = log2(x - 8) + 4
What is x=8?
Evaluate: log2(27)
log2(27) = 7
This would be the amount of bacteria in a population after 7 days.
What is 92 bacteria?
The range of f(x)=log5x.
What is ALL REAL NUMBERS?
What is (negative infinity, positive infinity)?
Estimate: log3(300)
What is 5.1-5.4?
This is an anchor point of the function:
g(x) = log3(x - 2) + 2
What is (3, 2) or (5, 3)?
Evaluate: log(10000)
log(10000) = 4
Consider the function: B(t) = 4e0.33t ...
This is how long it would take the population of bacteria to DOUBLE.
What is 2.1 days?
The ANCHOR POINT that all UNTRANSFORMED logarithmic graphs contain.
What is (1, 0)?
Estimate: log4(-18)
What is undefined/no solution?
This is an anchor point of the function:
g(x) = log5(x + 4) - 3
What is (-3, -3) or (1, -2)?
log2(1/32) = -5
Consider the function: B(t) = 8e0.22t ...
This is how long it would take the population of bacteria to TRIPLE.
What is 5 days?
Generally, all logarithmic graphs tend to look like what letter of the alphabet?
Estimate: log4(3200)
What is 5.7-5.9?
This is the notation that would be used if log4(x) was shifted UP by 9 units and shifted LEFT by 13 units.
What is log4(x + 13) + 9?