Expand
Condense
Solve Logs
Growth/Decay/Interest
Solve Exponentials
100

log2x/y

log2x - log2y

100

logx + logy

log(xy)

100

log17(-2x-1)=log1717

-9

100

The population of foxes in a particular national park is modeled by equation, y = 215(0.94)x, starting in 2004. What does 215 represent?

The number of foxes we started with.

100

4x = 43

x = 3

200

log6(xy3)

log6x + 3log6y

200

log23 + 4log2y

log23y4

200

log8x = 3

x = 512

200

The population of foxes in a particular national park is modeled by equation, y = 215(1.06)x, starting in 2004. What does .06 represent?

A 6% population increase.

200

14x = 88

x = 1.70

300

log5(uv3)4

4log5u + 12log5v

300

5logx - 12logy

log(x5/y12)

300

7+log3(x) = 11

x = 81

300

Maverick has a baseball collection valued at $525. The value increases by 1.2% annually. Create an equation that represents the value, y, of the collection after t years. 

Use y = A(1 +r)t

y = 525(1.012)t

300

16-2x+2 = 8

.625 or 5/8

400

log((x2y3) / z2)

2log4x +3log4y - 2log4z

400

Can you name the steps and operations for condensing logs?

1.  Power (coefficient to exponent)

2.  Product (add to multiply)

3.  Quotient (subtract to divide)

400

-7log(6-3n) = -7

-4/3 or -1.33

400

$1500 is invested into an account that earns 5% interest compounded weekly. Find the balance after 3 years.


Use y = p(1 + r/n)nt

$1742.63

400

What is Mr. Harty's son's name?

Alex
500

Expand log3(81x). The determine the transformation.

4+log3x

Up 4

500

log9x + 5log9y - 6log9z

log9((xy5)/z6)

500

9log9(2x - 9) + 6 = 24

x = 45

500

$2000 is invested into an account that earns 6% interest compounded quarterly. How long will it take for the account to double in value?

12 years

500

8(4-9-5x)+1 = 33

x = -2

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