Calculus

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

log₄1 = 

• 0
• 1
• 4
• DNE

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Evaluate log₄1

• 1
• 0
• 4
• undefined