6.4, 6.6 - 6.8 [Makeup for +10%]

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Evaluate

log ₂ 16

• 3

• 2

• 4

• 5

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Condense to a single logarithm: $\log_43+\log_45$  

•  $\log_4\ \frac{3}{5}$  

•  $\log_415$  

•  $\log_4\frac{3}{2}$  

•  $\log_4\ \frac{5}{3}$  

Fully expand  $\log\left(\frac{2x}{yz}\right)$  .

•  $\log\left(2\right)+\log\left(x\right)-\log\left(y\right)+\log\left(z\right)$  

•  $\frac{\log\left(2\right)\log\left(x\right)}{\log\left(y\right)\log\left(z\right)}$  

•  $\log\left(2\right)+\log\left(x\right)-\log\left(y\right)-\log\left(z\right)$  

•  $\log\left(2\right)\log\left(x\right)-\log\left(y\right)\log\left(z\right)$  

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tommy starts an ant farm will 100 ants. The ants increase at a rate of 4% each day. How many ants will Tommy have after 12 days?

• 160

• 61

• 144

• 105

What is the asymptote of y = log₂x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Write in exponential form.

• $e^0$

• $e^1$

• $1^0$

• $0^1$

The log_ax functions always pass thru coordinate

• (0,1)

• (1,a)

• (0,a)

• (a,1)