Final exam Review

Graphing Exponential

100

What is the domain of an exponential function?

All real numbers 

200

What is an Asymptote?

A line the graph gets close to but never touches.

300

f(x)=2^x Growth or Decay 

Growth 

400

F(x)=1/2 X 5^x-4-2  Describe the transformations.

Compress=1/2

Base=5

Right=4

down=2

500

What would be the end behavior of an exponential growth function?

x-infinity f(x)-infinity 

x-Negative Infinity f(x)-Asymptote 

Solving Exponential Equations

100

2^x+1=2⁹

x=0

200

5⁴ⁿ⁺⁵=5^n-7

n=-4

300

10^-4X10⁹=10^v+4X10^2v-11

v=4

400

2^p-7=8

Uncommon Base

p=10

500

32=2^2m-9

^{Uncommon Base}

m=2

Converting log to Exponential or Exponential to log

100

log₃9=2

3²=9

200

log₇1=0

7⁰=1

300

log₉27=3/2

9^3/2=27

400

3⁴=81

log₃81=4

500

12¹=12

log₁₂12=1

Condensing logs

100

log25+log4

log100

200

power property 

log_bmⁿ

nlog_bm

300

log₈4

log₈-log₈2

400

3Xlog4^x-1

3x-3log4

500

5 X log₄2

log₄32

Expanding logs

100

log₈(mn²)

log₈m+2log₈n

200

log(x⁹/y⁴)

9logx-4logy

300

log₂(a⁵b²)³

3(5log₂a+2log₂b)

400

log(p⁴/q⁷)²

2(4lofp-7logq)

500

log(x/2)

logx-log2