6-3: Rewrite the Log & Exponential

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

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

The common logarithm has what base?

• 10
• 0
• e
• -e

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

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

Write log₆ 216 = 3 in exponential form.

• 3⁶=216
• 6³=216
• 216⁶=3
• 3²¹⁶=6

Tags

CCSS.HSF.BF.B.5

What is the base in the equation

log 8 = 3?

• 8

• 10

• 3

• 1

Tags

CCSS.HSF.BF.B.5

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