Day 1 Log Conversions ­ Completed Notes
Unit F Logarithmic functions and their properties (A.4.A.)
Objective: To convert expressions from exponential form to logarithmic
form (and back again)
To solve logarithmic equations using rules of exponents.
Wehrle 1
Day 1 Log Conversions ­ Completed Notes
What are the functions we have learned to graph, so far??
Domain:
Range:
Domain:
Range:
Domain:
Range:
Domain:
Range:
Domain:
Range:
Domain:
Range:
Exponential Form: y=abx-h + k
Logarithmic Form: y = alog (x-h) + k
b
**Exponentials and Logs are INVERSES!!
Wehrle 2
Day 1 Log Conversions ­ Completed Notes
Evaluating logarithms--w/out a calculator!!
SWIRL!
logarithmic form
logbase banswer=exponent
exponential form
bexponent=answer
logbx=y
log
=
What are the restrictions on ....
b=base
y=exponent
?
Wehrle by=x
>0 and ?
>0
?
anything
= 1
3
Day 1 Log Conversions ­ Completed Notes
Change to Exponential Form: Change to Logarithmic Form:
1) log39=2
2) logx64=3
Now we will let's evaluate:
(find the value of x)
3) 24=16
4) 53=125
Don't forget to SWIRL!
There are 3 types of equations to solve:
1) Variable is the exponent
2) variable is the base (base must be positive)
3) variable is the answer
5) log232=x
Wehrle 6) log327=x
4
Day 1 Log Conversions ­ Completed Notes
Wehrle 7) log5(
)=x
9) log
=x
2
8) log2781=x
5
Day 1 Log Conversions ­ Completed Notes
10) logx3=2
11) logx64=
12) logx3=
Wehrle 6
Day 1 Log Conversions ­ Completed Notes
13) log25x=1.5
14) log25(r2-11)=1
15) log2(q-3)=4
Wehrle 7
Day 1 Log Conversions ­ Completed Notes
Homework: WS #1
Wehrle 8