Exponential Equations

Vocabulary

100

Is in the form f(x)=b^x

Exponential function

200

Paid prinpal of an investment and any previosly eraned interest.

Compound interest

300

A constant that has certain mathematical properties that make it a convenient base for exponential functions. 

e

400

The inverse of the exponential function.

logarithmic function

500

A ratio of two polynomial expressions.

rational expressions

Exponential Equations

100

2⁴=2^y

4=y

200

8^4x+2=64

0

300

5^x-6=125

9

400

4^2x=8^x+4

12

500

e³*e¹⁰

e¹³

Logarithmic Equations

100

Write as exponential form:

log₆ 216=3

6³=216

200

2⁷=128

log₂ 128=7

300

log_{9 1}

0

400

log₂ 64

6

500

log₅ 625

4

Rational Expressions

100

42x² / 2x

21x

200

Fctorize: x²-2x-3

(x-3)(x+1)

300

Factorize: x²-9

(x+3)(x-3)

400

Multiply 2xy and 5x²

10x³y

500

Simplify (9x²-x³) over (x²-3x-54)

-x² over x+6

General Knowledge

100

The smallest country

Vatican City

200

Which planet is closest to the sun?

Mercury

300

Who wrote Hamlet?

Shakespeare

400

What is the largest animal in the world?

Blue Whale

500

Who invented the telephone?

Alexander Graham Bell.