Interest
Rates
Logarithms
Logarithm
Rules
Logarithmic to
exponential
Polynomial
inequalities
100

$10,000 4% semiannually for 6 years

12,682.42

100

log91/81

-2

100

log432 - log48

1

100

ey=9

y=loge9

100

x²+12x+35>0

(-∞,-7)U(-5,∞)

200

$12,000 7% quarterly for 3 years

14,777.27

200

log5125

3

200

5logbx + 8logbz

logb(x5z8)

200

log37=y

3y=7

200

x²-2x>0

(-∞,0)U(2,∞)

300

$12,000 5% monthly for 7 years

17,016.43

300

log432

5/2 OR 2.5

300

log(9/4)

log 9 -log 4

300

2=log416

42=16

300

8x²+9x>0

(-∞,-9/8)U(0,∞)

400

$17,000 3% quarterly for 2 years

18,047.18

400

log21/8

-3

400

log(15x18)

log 15 +log 18

400

94=6561

4=log96561

400

2x²-3x>0

(-∞,0)U(3/2,∞)

500

$20,000 7% annually for 7 years

32,115.63

500

log28

3

500

log(x2y4)

2logx + 4logy

500

log918=2

92=18

500

(x-3)(x-5)(x-6)≤0

(-∞,3)U(5,6)

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