Practice Log Quiz

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Write in logarithmic form.
5² = 25

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

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Expand

• 5log₅a - 6log₅b
• 5log₅a - 30log₅b
• 5log₅a + 30log₅b
• 30log₅b - 5log₅a 

Condense

• A
• B
• C
• D

What is the range of every logarithmic function?

• [0,inf)
• [0,e)
  [0,e)
• (-inf,e)
• (-inf, inf)

In the general log function 
y = a*log_b(x-h)+k, what letter tells us if the function has stretched, compressed, or reflected?

• a
• b
• h
• k