Precalc 4.1-4.4 Quiz Review

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x
• 1^x=y+2
• 10^x=y+2
• x^(y+2)=10

Convert 2^x+6=10 to logarithmic form

• log₄(x)=2
• log₂(4)=x
• log₂(10)=6
• log₂(x)=4

Rewrite log_pt = m in exponential form.

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

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• D: (-∞, ∞)

  R: (-∞, 0)

• D: (0, ∞)

  R: (-∞, ∞)

• D: (-∞, ∞)

  R: (0, ∞)

• D: (-∞, 0)

  R: (-∞, ∞)

Expand log_b(xⁿ)

• nlog_bx
• (log_bx)ⁿ
• xⁿlog_bx
• log_b(xⁿ)