5/16 Solve Logarithms

15.1 d Solve Logarithms

Learning Target: I can solve simple logarithmic equations.

EQ: How are logarithmic equations rewritten in order to solve?​

Multiple Choice

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Multiple Choice

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Multiple Choice

The common logarithm has what base?

• 10
• 0
• e
• -e

Multiple Choice

Log with a base "e" (log_e) is the same thing as...

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Multiple Choice

What is the base of this problem?

log(x+6) = 1

• 10

• 6

• 1

• x+6

Multiple Choice

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Multiple Choice

log₃(4x) = 2

• x=4/9

• x=9/4
• x=3/2
• x=2/3

Multiple Choice

log₁₆(4) = y

• y = 2
• y = 4
• y = (1/2)
• y = (1/4)

Multiple Choice

Solve for x:

log_x1000=3

• 1

• 10

• 30

• 3

Poll

How are you feeling so far about today's lesson?

• Great 😃

  I could teach this to someone else

• Good 🙂

  I can do this with no help

• Okay 😕

  I can do it with help

• I'm struggling 😔

Multiple Choice

What is the base of $$\log_3\left(x+9\right)=5$$  

• 3

• (x+9)

• x

• 5

Multiple Choice

Solve for x:

log₂(x+3)=4

• 16

• 13

• 3

• 10

Multiple Choice

Solve for x:

log(x+6) = 1

• 4

• 4.222

• -5

• -9.550

Multiple Choice

Solve for x:

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Multiple Choice

Solve: $$\log_7\left(x-3\right)=2$$  

• x = 5

• x = 46

• x = 52

• x = 10

Poll

Learning Target Check In

I can solve simple logarithmic equations.

• I can do this with some help

• I can do most of this but I have questions

• I can do this by myself

• I can do this well enough to teach it to someone else