Log Quiz

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

log₆(3x - 2) = log₆(5x - 8)

• x = 3

• x = -1

• x = 2

• no solution

Rewrite 3⁴ = 81 in logarithmic form.

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

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Evaluate log₄1

• 1
• 0
• 4
• undefined

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₈(4x+4)=2

• 15

• 12

• 10

• 3