Exponents and Logarithms

Logarithms

100

What's the main difference between a logarithmic scale and a linear scale?

A linear scale has equal spacing or equal temperament; a logarithmic scale does not.

200

log_bx + log_by = 

log_b(xy)

300

log_bx - log_by = 

log_b(x/y)

400

log_b1 always equals...

0 (zero)

500

c * log_bx = 

log_bx^c

Condense

100

Condense  log 7 + log b 

What is  log 7b ?

200

Condense 4log 2 + 3log 4

What is log 1024?

300

Condense log x + log 3 + 2log y 

What is log(3xy²)?

400

Condense  3logx - 2log y 

What is  log (x^3/y^2) ?

500

Condense  1/2(3log x + 3log y - 7log z) 

log((x^(3/2)y^(3/2))/z^(7/2))

or

log(sqrt((x^3y^3)/z^7))

Expand

100

Expand  log(5x) 

What is  log 5 + log x ?

200

Expand  log(x^2/y^5) .

What is  2logx + 5logy 

300

Expand  log(3/4xyz) 

What is  log 3 + log x + log y + log z - log 4 ?

400

Expand  log((3x^2z^2)/(5x)) .

What is  log 3 + logx + 2logz - log 5 + log x ?

500

Expand log(x²y⁵z⁴)^1/2

What is 1/2(2log x + 5log y + 4log z)?

Evaluate

100

log₆36

2

200

log₃81

4

300

log₂64

6

400

log.01

-2

500

log₉121

2.18

Zilban Lore

100

Does Zilban have a pet? What kind?

Yes; Zilban has a cat.

200

What states has Zilban lived in?

Virginia, Illinois, California, Oregon

300

What's Zilban's top three favorite colors?

1. Green, 2. Purple, 3. Blue

400

The number of real plants in Zilban's classroom vs. the number of fake plants

One real plants and seventeen fake plants

500

Zilban's height (feet and inches)

5 foot 11 inches