2020-21 PC A2 U10 Logarithmic Review

Solve for x.
3^x = 27

• 2

• 4

• 3

• 5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

8^3x+3 = 8⁶

• x=28

• x=3

• x=1

• x=12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential:  $\log_93=\frac{1}{2}$  

•  $9^{\frac{1}{2}}=3$  

•  $3^{\frac{1}{2}}=9$  

•  $9^3=\frac{1}{2}$  

•  $\left(\frac{1}{2}\right)^9=3$  

Tags

CCSS.HSF.BF.B.5

Find x: log₅(x) = 4

• x = 20

• x = 25

• x = 625

• x = 125

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Find x:  $\log_7\left(\frac{1}{7}\right)=x$  

• x = -1

• x = 1

• x = 0

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3

Logarithms and Exponentials are what?

• parallel

• perpendiular 

• inverses

• congurent

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

find the asymptote: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find the asymptote of the following: y = log₁₀ x - 6

• x=6

• x=-6

• x= 0

• y=0

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7