Logs & Exponentials Test

The common logarithm has what base?

• 10

• 0

• e

• 1

Write in exponential form.
log₂32 = 5

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

Tags

CCSS.HSF.BF.B.5

Write  5² = 25  in logarithmic  form

• log₅   2 = 25
• log₅    25  =  2
• log₂  25  = 5
• No Correct Answer

Tags

CCSS.HSF.BF.B.5

Evaluate log 10⁷

• 10

• 10,000,000

• 7

• 1

Solve for x if 5^x = 150

• 30

• 3.11

• .32

• 3.29

Tags

CCSS.HSF.LE.A.4

Solve for x if 6^x = 54

• 9

• 2.23

• .45

• 2.1

Tags

CCSS.HSF.LE.A.4

Solve for x in the equation log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

Condense the expression to a single logarithm.

16 log u + 4 log v

• log(u¹⁶v⁴)

• log(u⁴v⁴)

• log(u¹⁶/v⁴)

• log 64uv

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Rewrite as an exponential equation:

log(10,000)=4.

• e⁴=10,000

• 4^10,000=10

• 10⁴=10,000

• 0⁴=10

Tags

CCSS.HSF.BF.B.5