Logarithms Test

Condense the expression to a single logarithm.

16 log u + 4 log v

• log(u¹⁶v⁴)

• log(u⁴v⁴)

• log(u¹⁶/v⁴)

• log 64uv

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Rewrite as an exponential equation:

log(10,000)=4.

• e⁴=10,000

• 4^10,000=10

• 10⁴=10,000

• 0⁴=10

Use logarithm properties to condense the expression log b² + log d

• b² + d

• log b²d

• log2b + logd

• log(2bd)

In the equation log₉ 729=3 , what is the base?

• 9

• 729

• 3

In the equation log₂ (1/32) = -5 , what is the argument?

• 2

• 1/32

• 32

• -5

In the equation log₈ 64 = 2 , what is the exponent?

• 8

• 64

• 2

What is the base for the common logarithm, when no base is written?

• 1

• 0

• e

• 10

Solve for x in the equation log_x (1/16) = -2

• 1/4

• 4

• 32

• 1/32

Solve for x in the equation log₁₃ x = 2

• 8,192

• 169

• 26

• 6.5