9.6B - Logarithmic Notation Day 2

9.6B - Logarithmic Notation Day 2

Write in log form.

 $4^2=16$  






 $6^{-2}=\frac{1}{36}$  

Multiple Choice

Rewrite in logarithmic form:

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Multiple Choice

Rewrite in logarithmic form:

(5+y)^3x = 125

• log _5+y 125 = 3x

• log _3x 125 = 5+y

• log _5+y 3x =125

• log₁₂₅ 3x = 5+y

Write in exponential form

 $\log_5125=3$  





 $\log_7\left(\frac{1}{49}\right)=-2$  

Multiple Choice

Rewrite in exponential form:

log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Multiple Choice

Rewrite in exponential form:

log₂ 0.25 = -2

• -2² = 0.25

• -2^0.25 = 2

• 2^-2 = 0.25

• No correct answer

Multiple Choice

Rewrite in exponential form:
.

 $\log_{\left(x+3\right)}y=4$  

•  $\left(x+3\right)^y=4$  

•  $\left(x+3\right)^4=y$  

•  $x^4=y$  

•  $y^4=x+3$   

Evaluating Logs

 $\log_4256$                                 $\log_2\left(\frac{1}{64}\right)$                               $\log_3-9$  

Multiple Choice

log₃81 =

• 2

• 3

• 4

• 5

Multiple Choice

log₄1 = 

• 0
• 1
• 4
• DNE

Multiple Choice

Evaluate.
log₆(¹/36)

• 2
• ¹/2
• -¹/2
• -2

Two Very Important Bases:

Fill in the Blank

Round to the nearest thousandth (3 decimal places).

log(15.89)

Fill in the Blank

Round to the nearest thousandth.

ln(3)

Fill in the Blank

Round to the nearest hundredth (2 decimal places).

 $\log_325$  

Recall: exponents and logs are inverse functions; they cancel each other's actions.
Simplify: 
 $\log_33^{5x}$  

 $\log_77^{5x^2+2x}$  

Fill in the Blank

Simplify

 $\log_{18}18^{2y+6}$  

Fill in the Blank

Simplify

 $\log10^{3x}$  

Fill in the Blank

Simplify

 $\ln e^{12x^2+18}$  

Last one...

Simplify: $\log_464^{2x}$