Final Exam Review

Graphing exponential

100

what is the domain for 2^x

all real numbers

solving exponential equations

100

2^x+1=2⁹

x=8

200

5⁴ⁿ⁺⁵=5^n-7

n=-4

300

2^p-7=8

p=10

400

10^-4(10⁹)=10^v+4(10^2y-11)

v=4

500

27^2x+6=3^2x

x=-7/2

Converting log to exponential or exponential to log

100

log₃9=2

3²=9

200

log₇1=0

7⁰=1

300

log₆216=3

6³=216

400

log₄1/16=-2

4^-2=1/16

500

log₉27=3/2

9^3/2=27

Condensing logs/exponential

100

log₆9+log₆4

log36

200

log₂(80/5)

log₂16

300

(3)log₄8-(5)log₄2

log₄16

400

log₄84-log₄12

log₄7

500

log₅6+log₅7

log₆42

Expanding Logs/exponential

100

log₆(xyz⁴)

log₆x+log₆y+(4)log₆z

200

log₄(a⁹/b)

(9)log₂y-(10)log₂z

300

log₂(y/z⁵)²

(2)log₂y-(10)log₂z

400

log₂6^x-1

(x-1)log₂6

500

log₂63

log₂7+log₂9