Logarithm

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Write log₃ 81 = 4 in exponential form.

• 81⁴=3
• 81³=4
• 4³=81
• 3⁴=81

Tags

CCSS.HSF.BF.B.5

Rewrite log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Evaluate log_b(b)

• -1
• 0
• 1
• b

Tags

CCSS.HSF.BF.B.5

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000
• log₁₀₀₀₀ 4 = 10
• log₁₀ 10000 = 4
• log₄ 10000 = 10

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand the following logarithm: 
log₂ 6/y 

• log₂ 6 - log₂ y 
• log₂ y - log₂ 6 
• 2log 6 + 2log y
• log₂ 6 - y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Is the following true or false?
 $\log_6\left(10\right)+\log_6\left(4\right)=\log_6\left(40\right)$  

• True

• False

Tags

CCSS.HSF.BF.B.5

 $\log_91=$  ___________

• 1

• 0

• 9

• 10

Tags

CCSS.HSF.BF.B.5

Which is the power property of logarithms?

• $\log_b\left(x\cdot y\right)=\log_bx\ +\log_by$

• $\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\log_by$

• $\log_b\ x^n\ =n\log_bx$

Tags

CCSS.HSF.BF.B.5