Properties of Logs - One at a time !

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

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

Change y = a^x into log form.

• x = log_ay

• y = log_ax

• x = log_ya

• y = log a

Tags

CCSS.HSF.BF.B.5

Condense: log₂6+log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Tags

CCSS.HSF.BF.B.5

When a logarithm has division inside of it, it expands using ________________.

• Addition
• Subtraction
• Multiplication
• Division

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 
• log₂ 5 + log₂ x 
• 2log 5 + 2log x
• log5 2 + log_x 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Condense  $\log_2a-\log_2b$  

•  $\log_2a^b$  

•  $\log_2ab$  

•  $\log_2\left(\frac{a}{b}\right)$  

•  $a\log_2b$  

Condense  $3\log\ x$  

•  $\log3+\log x$  

•  $\log3-\log x$  

•  $\log x+3$  

•  $\log x^3$  

Expand  $\log_7\left(\frac{2}{3}\right)$  

•  $\log_73-\log_72$  

•  $\log_72+\log_73$  

•  $\log_72-\log_73$  

•  $3\log_72$