Interest
Rates
Logarithms
Logarithm
Rules
Logarithmic to
exponential
Polynomial
inequalities
100

$3,500 8.25% yearly for 8 years

6,599

100

75

16,807

100

log2(13x11)

log213+log211

100

23=8

log28=3

100

(x-4)(x+5)>0

(-∞,-5)U(4,∞)

200

5-1.5

0.089

200

163/4

8

200

log14(14/y)

1-log14y

200

2=log5x

52=x

200

X²-2x+1<0

no solution

300

32.8 round to 3 decimal places

21.674

300

1/3-2

9

300

log(y/10)

log y-1

300

3=logb64

b3=64

300

-x²+x>0

(0,1)

400

$15,000 4% quarterly for 5 years

18,302.85

400

log232

5

400

logb(z4y)

4logbz + logby

400

122=x

2=log12x

400

(x-8)(x+8)>0

(-∞,-8)U(8,∞)

500

$15,000 5.5% monthly for 6 years

20,848.80

500

log1/51/625

4

500

log 50 + log 2

2

500

b3=8

3=logb8

500

x²-12x+27>0

(-∞,3,)U(9,∞)