Alg 2 Study Guide Kenia-Yadhira-Brissia

graphing exponential

100

The parent function

what is y=bx ?

200

if the graph is decreasing...

it is exponential decay

300

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

Find the | Domain, Range,Y-intercept,and Asymptote

Domain: R    

Range: Y>0

Y-intercept: (0,0.667)

Asymptote: Y=0

400

f(x)=(5/2)^x

Find the | Domain, Range,Y-intercept,and Asymptote

Domain: R    

Range: Y>0

Y-intercept: (0,2.5)

Asymptote: Y=0

500

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

Find the | Domain, Range,Y-intercept,and Asymptote

Domain: R    

Range: Y>0

Y-intercept: (0,1)

Asymptote: Y=0

solving exponential equations

100

Solve this exponential equation

2^x+1=2⁹

x=8

200

Solve this exponential equation

10^-4 x 10⁹=10^v+4 x 10^2v-11

v=4

300

Solve this exponential equation

8^2a-1=32^2a+1

a=-2

400

Solve this exponential equation

3^k x 3^k+2=3^5k-1

k=1

500

Solve this exponential equation

1/7 =49^x-5 x 7^x-9

x=6

converting log to exponential or exponential to log

100

log₃9=2

3²=9

200

log₉27=3/2

9^3/2=27

300

14²=196

log₁₄196=2

400

8^4/3=16

log₈^4/3=16

500

36^1/2=6

log₃₆1/2=6

condensing logs/exponential

100

Solve log₂7+log₂4

log₂28

200

Log₂ 80-Log₂ 5

Log₂4

300

1/2*Log₃ 81

Log₃ 2

400

3* log₄ 8 - 5* log₄ 2

log₂ 2

500

7*log₅ x + 3*log₅ y⁴

 log₄ (x⁷ y¹²)

expanding logs/exponential

100

Log₆(xyz⁴)

log₆x+log₆y+4log₆z

200

Log₇(q⁴r²)²

2(4log₇q+2log₇r)

300

Log₂(y/z⁵)²

2(log₂y-5log₂z)

400

log(p⁴/q⁷)²

8log₁₀(p)-14log₁₀ (q)

500

log₄ ³√c²d¹⁵

5/2*log₂(d)+1/3*log₂(c)