Logarithm

Logarithm

log₂8 = 3

• Can be rewritten exponentially as 2³ = 8

• Said as "log base 2 of 8 equals 3"

• Thinking to self: "2 to what exponent will get me 8"

Multiple Choice

Rewrite log₃81 = 4 exponentially

• 3⁴ = 81

• 4³ = 81

• 81³=4

Multiple Choice

Rewrite log₅ (1/5)= -1 exponentially

• 5^1/5 = -1

• 5^-1 = 1/5

• 1/5⁵ = 1

Multiple Select

Select all that can help you solve for x

• 3⁴

• 81

• 4³

• 64

Multiple Select

Check all that can help you solve for x

• x³ = 1000

• x = 100

• x = 10

• 1000³ = x

Multiple Choice

Evaluate log₂(1/2)

• 0.5

• -1

• 1

Multiple Choice

Solve for x
 $\log_2x$   = 1/2

•  $\sqrt{2}$  

• -2

• -1

• 1

Multiple Choice

Solve for x
 $\log_2\left(\frac{1}{16}\right)$   = x

• 4

• -4

• 8

• -8

Rewrite 3⁵ = 243 in logarithmic form.

• log₃ 243 = 5

• The base (3 in this case) becomes the subscript.

• The exponent goes on the opposite side the of equal sign.

• The value goes next to the log.

Multiple Choice

Rewrite 4² = 16 into logarithmic form.

• log₂4 = 16

• log₄ 16 = 2

• log₄ 2 = 16