A2H- RLO#5 Exponential and Log Functions

Use log rules to expand:  $\log\left(\frac{x}{y}\right)$  

• logx+logy

• xlogy

• log(x-y)

• logx-logy

Use log rules to expand completely: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

Rewrite in exponential form: 
2=log₉x

• 9^x=2
• 2^x=9
• 2⁹=x
• 9²=x

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Simplify. log16 + log2 - log8

• log4

• log8

• log10

• log24

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.5

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

Tags

CCSS.HSF.BF.B.5

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Evaluate  $\log_24^5$  .

•  $4$  

•  $5$  

•  $7$  

•  $10$  

Evaluate:
log₃(1/9)

• 2
• 1/2
• -2
• -1/2