Determine whether the function is exp. growth or decay.

y=8(7.5)^x

Growth

Is y= 87(0.75)^x exp. GROWTH or DECAY?

DECAY

Is y=0.3(1.7)^x exp. GROWTH or DECAY?

GROWTH

Is y=5(7/2)^z exp. GROWTH or DECAY?

GROWTH

 Is y= 3(7)^-n exp. GROWTH or DECAY?

DECAY

Is y= 1000(3750)^-x exp. GROWTH or DECAY?

DECAY

Write an exp function for the graph that passes through:

(0,-5) & (-3,-135)

y= -5(1/3)^x

Write an exp function for that graph that passes through:

(0,-18) & (-2,-2)

y= -18(3)^x

Solve the equation:

9^2x-1=27^x

2

Solve the equation:

2^3x+5=128

 2/3

Write the equation in exp. form.

log₂16=4

2⁴=16

 Write equation in exponential form.

log₅125=3

5³=125

Write equation in log form.

3³=27

log₃27=3

Write equation in log form.

7²=49

log₇49=2

 Write equation in exponential form.

log₆₄8=1/2

64^1/2=8

Write equation in exponential form.

log₃₂2=1/5

32^1/5=2

Write equation in exponential form.

81^1/2=9

log₈₁9=1/2

Write the equation in log form.

11²=121

log₁₁121=2

 Write equation in log form.

(1/6)^-2=36

log_1/636=-2

Write equation in exponential form.

log₁₀1000=3

10³=1000

 Write equation in log form.

13³=2197

log₁₃2197=3

Write equation in exponential form.

log_1/8512=-3

 (1/8)^-3=512

Evaluate.

log₂4

 4

 Evaluate.

log₄64

3

Evaluate.

log₈512

3

Evaluate.

log₂₅5

-2

Evaluate. 

 log₁₃x=169

2

 Evaluate.

log_1/416

-2

Evaluate.

log₂(1/32)

-5

Evaluate.

log_x16=4

2

Evaluate.

log₁₄x=2

196

Evaluate.

log_x625=4

5

Evaluate.

log₉729

 3

 Evaluate.

log₃9+log₂32

7

 Evaluate.

log₃27-log₄4

2

Given: log₇2=0.1172, log₇5=0.6033

Aprroximate the expression.

log₇10

0.7205

Given: log₃5=0.5772, log₃4=0.5162

Approximate:

log₃(5/4)

0.061

Given: log₁₃6=0.4087, log₁₃9=0.7452

Approximate:

log₁₃54

1.1539

Given: log₆12=0.8471, log₆8=0.5995

Approximate:

log₆(12/8)+log₆6

1.2476

Given: log₅3=0.4586, log₅2=0.3211

Approximate:

(log₅6)+log₅625-log₅25+log₅5

3.7797