Unit 6: Properties of Logarithms Quiz

Condense

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• B
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• D

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

The common logarithm has what base?

• 10
• 0
• e
• -e

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Simplify:  $\log_4\left(x+4\right)-\log_4\left(x-5\right)$  

•  $\log_49$  

•  $\log_4\left(2x-1\right)$  

•  $\log_4\left(x^2-x-20\right)$  

•  $\log_4\left(\frac{x+4}{x-5}\right)$  

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Expand

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