Lesson Rewrite Logarithms

Learning Target:  I can rewrite logarithmic and exponential expressions.

E.Q: What does the term loop-it/swirly mean and how does it help rewrite expressions ?

15.1 Rewrite logarithmic and exponential expressions

Pg. 181

​Pg. 181

​Learning Target:  I can rewrite logarithmic and exponential expressions.

Multiple Choice

$$\log_8\left(2\right)=\frac{1}{3}$$  In the expression, 8 is the

• base.

• exponent.

• argument.

• answer.

Pg. 181

Multiple Choice

Rewrite log_v n = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Multiple Choice

Rewrite in exponential form. $$\log_{6\ }t=m$$  

• $$m^t=6$$  

• $$t^m=6$$  

• $$6^t=m$$  

• $$6^m=t$$  

Pg. 181

Multiple Choice

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Multiple Choice

Change to Exponential Form:

log₆ 36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Pg. 181

Multiple Choice

Write log₂ $$\frac{1}{4}$$ = -2 in exponential form

• -2²  = $$\frac{1}{4}$$

• 
  $$2^{\frac{1}{4}}$$  = 2

• 2^-2  = $$\frac{1}{4}$$

• 
  $$\left(\frac{1}{4}\right)^{-2}=2$$

Multiple Choice

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

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 😔

Pg. 181

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

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

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 the equation in logarithmic form. $$a^{\frac{2}{3}}=b$$  

• $$\log_a\left(\frac{2}{3}\right)=b$$  

• $$\log_a\left(b\right)=\frac{2}{3}$$  

• $$\log_{\frac{2}{3}}\left(b\right)=a$$  

• $$\log_b\left(a\right)=\frac{2}{3}$$  

Multiple Choice

Rewrite the equation in exponential form. $$\log_8\left(512\right)=3$$  

• $$8^{512}=3$$  

• $$3^8=512$$  

• $$8^3=512$$  

• $$3^{512}=8$$  

Multiple Choice

Rewrite the equation in logarithmic form. $$5^{-4}=\frac{1}{625}$$  

• $$\log_5\left(-4\right)=\frac{1}{625}$$  

• $$\log_5\left(\frac{1}{625}\right)=-4$$  

• $$\log_{-4}\left(\frac{1}{625}\right)=5$$  

• $$\log_{\frac{1}{625}}\left(5\right)=-4$$  

Multiple Choice

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

Poll

Learning Target Check In

I can rewrite logarithmic and exponential expressions.

• 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