Exam Review

Solving exponential equations

100

2^x+1=2⁹

x=8

200

3^k*3^k+2=3^5k-1

k=1

300

5⁴ⁿ⁺⁵=5^n-7

n=4

400

10^-4*10⁹=10^v+4*10^2v-11

v=4

500

2^p-7=8

p=10

Converting log to exponential or exponential to log

100

log₃9=2

3²=9

200

log₆216=3

6³=216

300

log₇1=0

7⁰=1

400

Log₂16=4

2⁴=16

500

Log₉27=3/2

9^3/2=27

Condensing logs/exponential

100

condense:

log₃24-log₃8

log₃3

200

condense:

log₂15-log₂15

log₂1

300

condense:

log₄ x⁹-log₄ x²

log₄ 9/2

400

Condense:

5*log₄ 2

log₄32

500

condense:

1/3*log 8

log 2

Expanding Logs/exponential

100

expand:

Log 6

log 2 + log 3

200

expand:

log₇ 45

log₇ 9 + log₇ 5

300

expand:

log₂ (5x)

log₂ x + log₂ 5

400

expand:

log₂ 8⁷

(7) log₂ 8

500

expand:

log₇ √w

(1/2) log₇ w

Graphing exponential

100

what is the domain for:

f(x)=(1/3)^x-2

All Real Numbers

200

what is the range for:

f(x)=1/2*3^x+1

(1,∞)

300

what is the end behavior for:

f(x)=(3/2)^x-4-5

as x -> ∞ y -> ∞

as x->-∞ y-> -3

400

what is the y intercept for:

f(x)=-2*4^x-2

(0,-1)

500

what is the asymptote for:

f(x)+-2*4^x-2

y=0