Mr. Butler's Algebra II Chapter 8 Logarithms

Definitions

100

The inverse function to exponentiation?

What is a logarithm?

200

the value of e

What is 2.718?

Converting From Logarithmic to Exponential

100

log₆36 = 2

What is 6² = 36?

200

log₄256 = 4

What is 4^{4 =} 256

Converting from Exponential to Logarithmic

100

4³ = 64

 What is log₄64 = 3?

200

5² = 25

What is log₅2 = 25

Logarithmic Equations

100

log₅(x³)

What is 3log₅(x)

200

log_e(3x+2) = 6

What is ?

ACT Prep

100

There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?

What is 3/13?

200

If the hypotenuse of a right triangle is 10 inches long and one of its legs is 5 inches long, how long is the other leg?

 5√3

300

How many solutions are there to the equation x2 - 7 = 0?

What is 2?