Condensing Logarithmic Equations 5.3-5.4

What is the exponential form of the logarithmic equation log₅ 25 = 2?

• 2² = 25

• 25² = 2

• 5² = 25

• 5²⁵ = 2

Convert log₃ (1/27) = -3 into exponential form.

• 3³ = 27

• 3⁻³ = 1/27

• 27³ = 3

• 3³ = 1/27

Convert the exponential equation 2⁻³ = 1/8 into logarithmic form.

• log₂ 8 = -3

• log₈ 2 = -3

• log₂ (1/8) = -3

• log₃ 8 = 2

What is the logarithmic form of 10⁵ = 100,000?

• log₁₀ 100,000 = 5

• log₅ 10 = 100,000

• log₁₀ 5 = 100,000

• log₁₀ 10 = 5

Expand the logarithm.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Evaluate log₁₂ (1/12).

• 0

• -1

• 1

• 2

When you have two log expressions separated by a plus sign (+), we really need to ___________ them to simplify into one log expression.

• add

• subtract

• multiply

• divide

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form.

log₇y = x

• 7^y = x

• y = 7^x

• 7^x = y

• x⁷ = y