INDEX AND LOGARITHM FORMS

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 log_pt = m in exponential form.

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

Tags

CCSS.HSF.BF.B.5

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Tags

CCSS.HSF.BF.B.5

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Tags

CCSS.HSF.BF.B.5

What is 4⁵ in expanded form?

• 4 x 5

• 4 x 4 x 4 x 4 x 4

• 1024

• 5 x 5 x 5 x 5 x 5

Tags

CCSS.6.EE.A.1

What is a³ x b² in expanded form?

• a x 3 x b x 2

• a x a x b x b x b

• ab⁵

• a x a x a x b x b

Tags

CCSS.6.EE.A.1

Write the following in index form; 2 x 2 x a x a x b

• 4a²b

• 2²a²b

• 2²ab³

• 4ab²

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5