Evaluating, Expanding, and Condensing Logarithms

Evaluate log₄1

• 1

• 0

• 4

• undefined

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Write in exponential form.
log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Solve for x:
log₄ x = 3

• 4

• 12

• 32

• 64

Solve for x.
3^x = 27

• 2

• 4

• 3

• 5

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D