Converting to Logs
Converting to Exponents
Things to know about e
Solving Log Problems with Graphs
Pop Culture Trivia
100
Convert to a log:
3^x = 23
log_3(23)=x
100
Convert to exponent:
log_2(32) = y
2^y = 32
100
What is the value of e?
e = 2.718...
100
When do the values of two exponential equations equal each other on a graph?
When the two graphs intersect (cross).
100
What movie in 2019 topped Avatar as the highest grossing film of all time?
Avengers: Endgame
200
Solve for x:
4^x =65
x = 3.011
200
Solve for x:
log_x(64)=2
x = 8
200
Log base e of x can also be expressed with what other abbreviation?
ln (x)
200
The equation et is shown on the graph. What is a good approximation for ln5
ln5 = 1.5
200
What modern day item made a cameo in the final season of Game of Thrones?
A Starbucks Cup
300
Solve for x:
2^(x-3) = 32
x = 8
300
Solve for x:
log_3(x+1)=3
x = 26
300
When do we use e in our exponential equations instead of a factor?
When their is continuous growth involved
300
The graph shows y = log2x Explain why the point (8,3) is on the graph.
Because 23 = 8
300
Who was the first winner of The Masked Singer?
T-Pain
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400
Solve for x:
3*e^(2x) = 25
x = 1.06
400
Solve for x:
4*log_x(27) = 12
x = 3
400
What does the 0.025 represent in the following equation?
2*e^(0.025x)
There is a constant growth of 2.5%
400
The graph shows the growth of two groups of flies in thousands every day. What does the marked point mean for the two populations of flies?
There will be 3,466 flies after about 5.657 days.
400
What are the names of all of Kim Kardashian and Kanye West's children?
North, Saint, Chicago, and Psalm
500
Solve for x:
4*e^(4.7x) = 3*e^(6x)
x = 0.221
500
Solve for x:
3*log_2(x-2)=18
x = 66
500
A bank account is continuously growing at a rate of 1.6%. If you started with $250 in the account, write an equation that can be used to determine the balance of the account B(t), after t years.
250*e^(.016t)
500
The graph shown represents y = log5x. What is the x-intercept of the graph?
(1,0)
500
Jennifer Lopez has been engaged six times. Name three of her fiancés.
1. Ojani Noa
2. Cris Judd
3. Ben Afleck (twice)
4. Marc Anthony
5. Alex Rodriguez