Logarithms Review

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

log₅25 = ?

• 2
• 5
• 125

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

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

Tags

CCSS.HSF.BF.B.5

Condense: log₂6+log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Tags

CCSS.HSF.BF.B.5

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

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

Expand log₃(9x²)

• 3+2log₃x

• log₃9+2log₃x

• 2+2log₃x

• log9+2logx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Evaluate: $\log\ \left(\frac{1}{100}\right)$ 

• 2

• -2

• 1/2

• -1/2

Which of the following is equal to the given expression?
 $2\ \log\ \left(3x\right)$  

•  $\log\ 3x^2$  

•  $\log\ 9x^2$  

•  $\log\ 6x^2$  

•  $\log\ 6x$