Zanmei Clarissa Kwanki game

Real life applications

100

This two letter scale uses negative logarithm to measure hydrogen ion concentration, meaning a value of 3 is ten times acidic than a 4.

pH

200

log is used to convert multiplication into addition and to measure surprise for what?

Entropy 

300

What is the Richter scale used for 

Find the intensity of the earthquake

400

By what scale are decibels measured in? 

A base 10 scale

500

If you invest $2,500 into an account that earns 6% annual interest compounded monthly, approximately how many years will it take for your investment to double?

11.58 years

Math Problems

100

log₂(x)=5, find x. 

x=32

200

log₂(x)=-3

x=1/8

300

log₂(x-1)=4, find x.

x=17

400

log₃(x²-5x+13)=2, find the solutions of x.

x=4, x=1

500

(1/2)log₄(-8x)+3=4, find x. 

x=-2

log properties

100

Express log_b(b^x) in simplest form

x

200

The expression log_b(m/n) can be rewritten as which property?

What is the difference of logarithms?

300

Which property simplifies log_b(mⁿ)?

What is the power rule of logarithms?

400

What does log_b(1) simplify to?

0

500

log_b(1/x) can be rewritten as?

-log_b(x)