Condensing Logs
Expanding Logs
Log/Exponential Equations
Trig Equations
Mrs. Abbott
100

Condense: 

3 log_4x

log_4x^3

100

Expand:

log_2(ab)

log_2a+log_2b

100

Solve:

log_2x = 3

8

100

Solve: 

2/5*cos x = -1/5

x = 120 + 360n

x = 240 + 360n

100

Mrs. Abbott has this many children.

2

200

Condense: 

lna +lnb + ln c

ln abc 

200

Expand:

 

ln (x/y)^5

5lnx-5lny

200

Solve:

17^n = 67.9

1.4888

200

Solve:

sin (x/4) = -1/2

x = 840 + 1440n

x = 1320 + 1440n

200

Where did Mrs. Abbott teach before she came to FHS?

Windham High School

300

Condense: 

log_9u+log_9v-4log_9w

log_9((uv)/w^4)

300

Expand:

log_8(x^3/y^5)

3log_8x-5log_8y

300

Solve: 


3log x + 7 = 4

0.1

300

Solve:

3sec x = -3

x = 180 + 360n

300

In which state did Mrs. Abbott grow up?

New Jersey

400

Condense: 

3log_4z+(log_4x)/2

log_4(z^3sqrtx)

400

Expand:

log_9sqrt(x^3)

3/2log_9x

400

Solve: 

7 * 14^(6a-3)+1 = 14

0.5391

400

Solve:

3csc3x = 6

x = 10 + 120n

x = 50 + 120n

400

What is Mrs. Abbott's favorite genre of music?

classic rock

500

Condense: 

(log_3x)/2-4log_3y-2log_3z

log_3(sqrtx/(y^4z^2))

500

Expand:

 

log_7((yz^4)/sqrtx)

log_7y+4log_7z-(log_7x)/2

500

Solve: 

-3e^x -8= -36.7

2.2583

500

Solve:

1 + cot(x/4) = (3 + sqrt3)/3

x = 240 + 720n

500

So you know that Mrs. Abbott went to Syracuse. What were her 2 majors?

Math & Psychology

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