Logarithms

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.HSF.BF.B.5

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

what do you get when you cross a fish with a elephant

• sephant

• swimming trunks

• bathing suit

• bread

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

• log₄15

• log₄15x

• log₄56x

• xlog₄30

Condense the expression  $10\log_3x+6\log_3y$  
 into a single logarithm.

•  $\log_3\left(x^{10}y^6\right)$  

•  $\log_3\left(x^{10}+y^6\right)$  

•  $\log_3\left(\frac{x^{10}}{y^6}\right)$  

•  $\log_3\left(xy\right)^{16}$  

Condense the Logarithm:  $5\log_3x+2\log_3y-4\log_3z$  

•  $3\log_3xyz$  

•  $\log_3x^5y^2z^4$  

•  $\log_3x^5y^2-\log_3z^4$  

•  $\log_3\ \frac{x^5y^2}{z^4}$