Math 3 LT #1 Review

Write the following in logarithmic form:

 $2^3=8$   

•  $\log_23\ =\ 8$  

•  $\log_28\ =\ 3$  

•  $\log_32\ =\ 8$  

Tags

CCSS.HSF.BF.B.5

Write the following in logarithmic form:    

 $x\ ^y\ =\ z$  

•  $\log_x\ y\ =\ z$  

•  $\log_{x\ }z\ =\ y$  

•  $\log_{y\ }x\ =\ z$  

Tags

CCSS.HSF.BF.B.5

Evaluate:

 $\log_{5\ }625\ =\$  

• 5

• 4

• 3

• 2

Evaluate:

 $\log_{\frac{1}{2}\ }4\ =\$  

• -2

• -1

• 0

• 2

Evaluate:

 $\log_{\frac{1}{3}\ }3\ =\$ 

• -2

• -1

• 0

• 2

Use the properties of logarithms to expand and simplify each logarithmic expression:

 $\log_33x$  

•  $\log_33\ +\ \log_3x$  

•  $\log_33\cdot\log_3x$  

•  $1+\log_3x$  

•  $\log_33-\log_3x$  

Use the properties of logarithms to expand and simplify each logarithmic expression:

 $\log_327x$  

•  $\log_327\ +\ \log_3x$  

•  $\log_327\cdot\log_3x$  

•  $3+\log_3x$  

•  $\log_327-\log_3x$  

Use the properties of logarithms to expand each logarithmic expression:  

 $\log_ax^4y^5z^3$  

•  $4\log_ax\ \cdot\ 5\log_ay\cdot3\log_az$  

•  $\log_ax^4\ +\ \log_ay^5+\log_az^3$  

•  $4\log_ax\ -\ 5\log_ay-3\log_az$  

•  $4\log_ax\ +\ 5\log_ay+3\log_az$  

Use the properties of logarithms to condense the logarithmic expression:   $\ 3\left(\log_x\ y\ -\log_xz\right)\$  

•  $\ 3\log_x\ y\ -3\log_xz\$  

•  $\ 3\log_x\ y\cdot z\$  

•  $\ 3\log_x\ \frac{y}{z}\$  

•  $\ \log_x\left(\ \frac{y}{z}\ \right)^3$  

Use the properties of logarithms to condense the logarithmic expression:   $\ \frac{1}{2}\left(\log_x\ y\ +\log_xz\right)\$  

•  $\ \frac{1}{2}\log_x\ y\ +\frac{1}{2}\log_xz\$  

•  $\ \frac{1}{2}\log_x\ y\cdot z\$  

•  $\ \log_x\ \sqrt{yz}\$  

•  $\ \log_x\sqrt{\frac{y}{z}}$