Transcript Jeopardy Review Game

Fascinating
Egotistical
Lethargic
Exponential
Properties
Log Functions
Functions
Of Logs
Outrageous
Amazing
Exponential
Exponential
&
Log Equations & Log Models
1pt
1 pt
1 pt
1pt
1 pt
2 pt
2 pt
2pt
2pt
2 pt
3 pt
3 pt
3 pt
3 pt
3 pt
4 pt
4 pt
4pt
4 pt
4pt
5pt
5 pt
5 pt
5 pt
5 pt
Evaluate
f(x) = 3.4x
When x = 5.6
What is 946.8516
Graph the function
f(x) = 2x-1
What is
Graph f(x) = 2ex – 2 + 4
What is
Solve the equation for x
e2x – 1 = e4
WHAT IS 5/2?
Determine the balance for $2500 at a
rate of 3% for 20 years
Compounded both monthly and continuously.
What is A $4535.05 when compounded monthly
What is $4555.30 compounded continuously?
Write the logarithmic equation in exponential form
log84 = 2/3
What is 82/3 = 4
Write the exponential equation in logarithmic form
e2 = 7.3890….
What is ln 7.3890….= 2
Use the properties of logs to simplify the expression
9log915
What is 15?
Find the domain, x-intercept, vertical or
horizontal asymptotes of the logarithmic function and
sketch its graph.
f(x) = ln(3-x)
What is
Solve for x.
log (5x + 3) = log 12
What is x = 9/5?
Rewrite the logarithm as a ratio of common logs
and natural logs
log 2.6 x
What is log x
log 2.6
What is ln x
ln 2.6
Evaluate the logarithm using the
change of base formula
log151250
What is 2.6332?
Find the exact value of the logarithmic
expression without using a calculator.
log3 81-0.2
What is-0.8?
Use the properties of logarithms to expand the
expression as a sum, difference, and /or constant
multiple of logarithms.
Ln 4x3(x2 -4)
What is 3/4lnx +1/4[ln(x+2) + ln(x-2)]
Or
¼[3lnx + ln(x + 2) + ln (x – 2)]
Condense the expression to the logarithm of a
single quantity.
½ [log (x + 1) + 2 log (x – 1)] + 6 log x
What is log [x6(x – 1)x + 1 ]
Solve for x
ln x = -7
What is e-7 ≈ .000912
Solve the exponential equation
6(23x – 1) – 7 = 9
What is 0.805
Solve for x
e0.125x – 8 = 0
What is 16.6355?
Solve the logarithmic equation algebraically.
log 4x – log (12 +x) = 2
What is 1225 + 125 75 ≈ 1146.500
2
The number of endangered animal species in the US
from 1990 to 2002 can be modeled by
Y = -119 + 164ln t ,
10 ≤ t ≤ 22
Where t represent the year, with t = 10 corresponding
to 1990. During which year did the number of
endangered animal species reach 357?
What is t = 18, which makes the year 1998.
How long will it take an initial investment of
$600 at a rate of 4.5% to double if
compounded quarterly?
What is 1.2965 years?
Determine the rate at which $1000 will double
compounded continuously over 3 years.
What is 23.1%?
The number y of hits a new search engine website
receives each month can be modeled by y = 4080 ekt
where t represents the number of months the website
has been operating. In the websites’s third month,
there were 10,000 hits. Find the value of k, and use
this result to predict the number of hits the website
will receive after 24 months.
What is k = 0.2988 which is appox. 5,309,734 hits?
The number N of bacteria in a culture is modeled
by
N = 100ekt
Where t is the time in hours. If N = 300 when t = 5,
estimate the time required for the population to
double in size.
What is 3.15 hours?
Find the exponential model
y = aebx
that fits the points (0, 1) and (3, 10)
What is y = e0.7675x