Logs/Exponent Review

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

 $\log\left(\frac{m^3}{n}\right)$  

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ -81

• log₉ 1

Without a calculator, list the following in order, least to greatest:

A) log₅ 30

B) log_0.25 32

C) log₇ 49

D) log₈ 40

• A,B,C,D

• A,B,D,C

• B,D,C,A

• B,D,A,C

Without a calculator, determine which of the following ISN"T possible. Check all that apply.

• log₂ (x - 4) when x = 4

• log₃ (x+3) when x = 0

• -2log₅ (x-1) when x = 0

• ¹/₂ log (x+4) when x = -2

Tags

CCSS.HSF.BF.B.5

Without technology, determine which of the following is an increasing function. Check all that apply.

• y = log₂ (x - 4)

• y = log₃ (x+3)

• y = -2log₅ (x-1)

• y = ¹/₂ log x + 4

Tags

CCSS.HSF-IF.C.7E

Which of the following has a domain of all real numbers, x > 2 ?

• y = log₂ x

• y = log₃ (x+2)

• y = log₄ (x - 2)

• y = log₇ x - 2