Logarithm Review

Conversions of Logs and Exponents

100

Log₂8=3

2³ = 8

200

Log₄64=3

4³= 64 

300

Log₁₁121=2

11²=121

400

Log₆1/36 =-2

6^-2= 1/6² = 1/36 

500

x^y= z

log x ^z = y 

Expand and Condense Logs with the Rules

100

log 4 + log 3

log ( 4*3)

log 12

200

log 10 - log 4

log 10/log 4 

or 

log (10/4) 

300

log 8²

2 log 8 

400

log(2/5)

log 2 - log 5

500

log 5 ² - log 3

2 log 5 - log 3

2 log 5 / log 3

Solving Logarithms

100

log ₇ 1/49 = X

7^x = 1/49 

x = -2 

200

log ₄ 256 = X

4^x = 256 

x=4

300

log ₃ 9 = X

3^x = 9 

x = 2

*Bonus Questions*

100

Finish the sentence Exponents are the _________ operations of Logs 

Inverse or Opposite 

200

Exponents are graphed linear.

True or False 

False 

300

Without solving how do we plot Log points, what happens? 

What happens is the x's become the y's and y's become the x's 

400

What is it called if you have to figure out what X is in a Log? 

Is it Solving Logs or Converting logs 

Solving Logs 

500

How many properties do we use for Log and list them? 

3 properties 

- log a + log b = log ab

- log a - log b = log a/log b 

- b log a = log a^b