Warm up! . 10 2 x Solve for x
Jan 21, 2016
Warm up!
.
10 2x
Solve for x
And before we get to the learnin’, any
questions from your homework?
The Wørd
Section 3.2Logarithmic
Functions and Their Graphs
So the frosh are 3-4.
Exponentiating
10xy
How do we get the x out of the exponent?
How do we solve for x?
Logarithmic Functions
It is read “y equals log base b of x.”
log yby x iff x b
Logs and exponential functions are freaking inverses!!!!!!!!
Which ain’t too bad.
Convert the log equation to an exponential equation and vice
versa.log 100 2
3log 27 3
I am 21-20 as a
coach…
Convert the log equation to an exponential equation and vice
versa.4
1log 1
4
35 125
…and now I’m hoping to be 23-
20.
Convert the log equation to an exponential equation and vice
versa.46 4096
3 17
343
Still not a great
record…
Evaluate the log without a calculator!
3log 9
2log 32
4log 2
…for me at least…
Evaluate the log without a calculator!
7
1log
49
5
1log
125
log 0
…but we’ve got some great kiddos playin’
ball.
Evaluate the log without a calculator!ln e
2ln e
ln 6e
If you’re not watching games at
all levels…
Props of Logarithms
log 1b
logb b
log
log
b
xb
x
b
and
b
…you’re missing
out.
Find the inverse of the given function.( ) 2xf x 4( ) log (2 )f x x
The frosh have 2 shutouts already…
Find the inverse of the given function.( ) 3 1xf x 6( ) log ( 1) 1f x x
…and they delivered some crushing hits.
2( ) log ( 3) 3f x x
-10 -5 5 10
10
8
6
4
2
-2
-4
-6
-8
-10
JV has some great talent too.
3( ) 2 log ( 1) 1f x x
-10 -5 5 10
10
8
6
4
2
-2
-4
-6
-8
-10
They’ve got blistering
speed and a stifling D.
1( ) ln ( 2) 3
2f x x
-10 -5 5 10
10
8
6
4
2
-2
-4
-6
-8
-10
And have you seen Robertó
Müdd?
The relationship between the number of decibels, β, and the
intensity of a sound, I, in w/m2 is given by:
1210log
10
I
a) Determine the # of decibels of a sound with intensity of 1 w/m2.
The relationship between the number of decibels, β, and the
intensity of a sound, I, in w/m2 is given by:
1210log
10
I
b) Determine the # of decibels of a sound with intensity of 10-2 w/m2.
The relationship between the number of decibels, β, and the
intensity of a sound, I, in w/m2 is given by:
1210log
10
I
c) The intensity of the sound in part a is 100 times greater than that of part b. Is the # of decibels 100 times greater?
Mr. Wu invests $5,000, the yearly maximum, in his Roth IRA. If it
usually gains 7% in interest a year, how long will it take to double in
value if it’s compounded continuously? rtA Pe
3.2 from the dern packet!And your homework!