Test 12 Review: Exponents & Logarithms

What does the b in log_bA=x represent?

• Argument
• Base
• Exponent
• Bottom

Rewrite log_pt = m in exponential form.

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

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

Rewrite the exponential equation into its logarithmic equation; x⁶=64

• log₆x=64
• log6=64
• log₆64=x
• log_x64=6

Solve for x
5^x = 17

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

The common logarithm has what base?

• 10
• 0
• e
• -e

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2