A
Evaluate log 60
1.7782
f(x)= 2( 5)x
Find the domain and range
Domain ALL REAL NUMBERS
Range Y>0
natural logarithm ln has what base?
e
Two types of logarithms
What is natural logarithms and common logarithms
Solve ln (3x+2) =1
0.3591
Evaluate ln 666
6.5013
f(x)= 2( 5)x
Find the y-intercept and Asymptote
y-intercept 2
asymptote y=0
Rewrite 24 = 16 in logarithmic form.
log2(16) = 4
If you deposit $4000 into an account that pays 5% interest quarterly, how much money is in the account in 3 years?
$4643.02
Solve log (4x-2) =1
3
Evaluate log5(-125)
Does not exoist
f(x)= 2( 5)x
Describe the end behavior
x--> -oo y--> 0
x--> +oo y--> oo
Rewrite in exponential form log10(1000) = 3
103 = 1000
You started a podcast in 2015, find the exponential model if you had 150 followers in 2020 and 199 followers in 2021. Round to the nearest tenths.
How many followers do you have in 2026?
f(x)=36.5(1.33)x
840
Solve ex+5 =8
-2.9206
Evaluate log0.25(81)
-3.1699
f(x)= 2x is translated to g(x)= -3(2)x-4 +5
describe all the translations
x axis reflection, vertical stretch, 4 right, 5 up
Common logarithm log has what base
10
The function f(x)= 450(1.05)x model the population of falcons in Tennessee.
Is the number increasing or decreasing?
What is the staring population of the falcons?
increasing
450
Solve 20 = 10x+2
-0.6990
Evaluate e1.25
3.4903
f(x)= 2x is translated to g(x)= 0.2(2)x+5 - 4
describe all the translations
vertical compression, 5 left, 3 down
The function f(x)= 450(1.05)x model the population of falcons in Tennessee.
What is the growth factor?
What is the growth rate?
1.05
5%
If the population of snipes in Jackson County in 2020 was 450 and the decay rate is 1.3% each year. Write the decay function that models the snipe population.
Use the model to find the population in 2024.
f(x)=450(1.013)x
473
If $2000 was invested 5 years ago, and the interest 2.5% was compounded continuously, what is the account worth today?
$2266.30