Introduction to Logarithms Practice

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

log₅25 = ?

• 2
• 5
• 125

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

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

Evaluate: log₉3

• ½
• -½
• 2
• -2

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

Write the value of:
log₆ (1/6)

• - 1/6
• 1/6
• -1
• 1