Logarithms Test

Solve for x in the equation log₅ 625 = x

• 4

• -4

• 125

• -5

Solve for x in the equation log x = 4

• 40

• 256

• 10,000

• 10

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

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

What type of functions are logarithms the inverse of?

• Quadratic functions

• Linear functions

• Radical functions

• Exponential functions

In the equation ln 3 = 1.1 , what is the base?

• 3

• 1.1

• e

• 10

Solve for x in the equation ln 1 = x

• e

• 0

• 1

• 10