Logs Catch-Up

Logs Catch-Up

Let's take a day to let Mr. Phillips know what you know about Logarithms!

Multiple Choice

Evaluate:  log₈8

• 0
• 1
• 2
• 8

Multiple Choice

Evaluate:  log₇(1/49)

• 2
• -1
• -2
• 1

Fill in the Blank

Evaluate: log₁₃₅1

Multiple Choice

Change the following into logarithmic form: h = p ^g

• log g p = h

• log p h = g

• log p g = h

• log h p = g

Multiple Choice

Evaluate.
2^log₂12

• 6
• 2
• 9
• 12

Multiple Choice

Find the value of v.
3 = log_v1000

• 36
• 56
• 10
• 20

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Fill in the Blank

Evaluate:

 $\log_464$  

Fill in the Blank

Evaluate to the nearest hundredth:

 $\log_{14}28$  

Follow the progression here from top to bottom.Going from purple to blue is the essence of the skill.

Multiple Choice

Solve: log₅(2x+1) = 2

• 26

• 12

• 13

• 14

Multiple Choice

Write the value of:
log₆ (1/6)

• - 1/6
• 1/6
• -1
• 1

Multiple Choice

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Multiple Choice

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Multiple Choice

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Multiple Choice

Solve for x: 
4^x = 32

• 2
• 4
• log₄32
• log₃₂4

Multiple Choice

Solve for x:
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Multiple Choice

Use a LOG to solve the exponential function.  
2^x-1 + 5 = 20

• x = 3.91
• x = -0.46
• x = 4.91
• x = 5.31

Multiple Choice

Solve for x:

2^{3x - 1} = 32

• 0

• -1

• 5/3

• 2

Multiple Choice

Solve for x:

 $3\left(5\right)^{\left(x+1\right)}-8=20$  

•  $x=\log\left(\frac{25}{15}\right)-1$  

•  $x=\log_5\left(\frac{28}{3}\right)+1$  

•  $x=\frac{\log\left(\frac{28}{3}\right)}{\log\ 5}-1$  

•  $x=\log\left(\frac{28}{3}\right)-\log\ 5\ -\ 1$  

Multiple Choice

2^x - 5 = 12

• x = 8.5

• x = 4.1

• x = 6.2

• x = 3.9

Multiple Choice

Solve for x:

8^x+1= 3

• 0.528

• 0.893

• -0.472

• 1.893