Log/Exponential Conversion
Log Properties
Solving Log/Exponential Equations
Writing Polynomial Functions
Possible Real and Complex Zeros
Solving Polynomial Functions
100

log3 17 = x

What is 3x = 17?

100

ln X2Y3

What is 2ln X + 3ln Y
100

5x = 18

What is x = 1.796
100
Zeros: 4 and -3

What is f(x) = x2 - x - 12?

100

Total number of zeros for 
f(x) = 3x5 - 3x4 + 2x3 + x2 - 7x + 9

What is 5?
100

The zeros of f(x) = x2 + 7x - 18

What are -9 and 2?
200

85 = x

What is log8 x = 5?

200

log3 4M2/7N6

What is log3 4 + 2log3 M - log3 7 - 6log3 N?

200

logx 94 = 6

What is x = 2.132?
200
Zeroes: 0, 5, and -2.

What is f(x) = x3 - 3x2 - 10x?

200

Possible positive zeros of

f(x) = 3x5 - 3x4 + 2x3 + x2 - 7x + 9

What are 4, 2, or 0 possible positive roots?

200

The zeros of f(x) = 3x3 + 9x2 - 12x

What is x = 0, 1, and -4?
300
ln 7 = 1.946

What is e1.946 = 7?

300

3log6 M + 2log6 N - 2log6 5

What is log6 (M3N2)/25?

300

e2x+7 = 107

What is x = -1.164
300

Zeroes: 3, 5 + 2i

What is x3 - 13x2 + 59x - 87?

300

Possible negative zeros of

f(x) = 3x5 - 3x4 + 2x3 + x2 - 7x + 9

What is 1 possible negative zero?

300

The zeros of g(x) = x3 + 3x2 + 25x + 75.  Given -3 is a zero

What are -3, 5i, -5i?

400

e-.256 = .7741

What is ln .7741 = -.256?
400
5ln M - 6ln N

What is ln M5/N6

400

log3 (x + 3) - log3 (5) = log3 (4x - 7)

What is x = 2
400

Zeroes: -2, 9, 12i

What is f(x) = x4 - 7x3 + 126x2 - 1008x -2592

400

Possible complex zeros of

f(x) = 3x5 - 3x4 + 2x3 + x2 - 7x + 9

What are 0, 2, and 4 possible complex zeros?

400

What are the zeros of g(x) = x3 + 13x2 + 73x + 61 given -1 is a zero.

What are -1, -6 + 5i, -6 - 5i

500
log 721 = 2.858

What is 102.858 = 721?

500

log7 49 + log7 (1/343)

What is -1?
500
ln (x + 3) + ln x= ln 28
What is x = 4?
500

Zeroes: 7 + 3i, -4 - 6i

What is f(x) = x4 - 6x3 - 2x2 - 264x + 3016

500

Possible complex zeros of

f(x) = 2x8 - 6x7 + 8x4 - x2 + x - 17

What is 2, 4, and 6?
500

The zeros of h(x) = x3 + 8x2 - 5x -84

What are -7, -4, and 3?
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