Logarithms and Radicals

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

Write in logarithmic form

2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm by solving for x:

log₈√8 = x

• x = -¹/₂

• x = -1

• x = 1

• ^{x = 1}/₂

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm by solving for x:

log₂₅0.2 = x

• x = -¹/₂

• x = -2

• x = 2

• ^{x = 1}/₂

Evaluate the following logarithm by solving for x:

x = log₁₆32

• ^{x = 4}/₃

• ^{x = 3}/₄

• ^{x = 5}/₄

• ^{x = 4}/₅

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Tags

CCSS.8.EE.A.1

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Tags

CCSS.8.EE.A.1