Final exam Review

Solving exponential equations

100

2^x+1=2⁹

x+1=9

x+8

200

125^y=25

y2/3

300

5⁴ⁿ⁺⁵=5^n-7

3n/3=-12/3

400

4^y+2=16^y-3

y=8

500

32=2^2m-9

m=7

Graphing exponential

100

the parent function 

what is y+bx?

200

If the graph is increasing 

the slope is positive 

300

f(x)=2/3

Find the Domain, Range, Y-intercept and Asymotote

Domain: R

Range: Y>0

Y-intercept: (0,0.667)

Asymotote: Y=0

400

F(x)=2^x

Find the Domain, Range, Y-intercept and Asymotote

Domain: R

Range: Y>0

Y-intercept:(0,1)

Asymotote:0

500

f(x)=2^x+4

Find the Domain, Range, Y-intercept and Asymotote

Domain:R

Range:y>4

Y-intercept-(0.5)

Asymotote:y=4

. Converting log to exponential or exponential to log

100

log₂128=7

2⁷=128

200

log₂32

5

300

log₂7+log₂4

log₂28

400

log₅1/3

log₅2-log₅6

500

log₂15-log₂15

log₂1

Condensing logs/exponential

100

4*log₄a+2log₄b

log₄a⁴*b²

200

log₂15+log₂4-log₂6

log₂10

300

log₈4

2/3

400

2*log6-1/4*log16+log₅3

log54

500

3*log₂4-log₂32

log₂2

Expanding Logs/exponential

100

log₄a⁹/b

9log₄a-log₄b

200

log₆(xyz⁴)

log₆x+log₆y+log₆z

300

log₂(y/z⁵)²

2(log₂y-5log₂2)

400

log₇(q⁴r²)²

4log₂q+log₂r

500

log_{3 4th root4(m}⁵_n²₎

1/4(5log₃m+2log₃n)