Simplifying Logs

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate log₄1

• 1
• 0
• 4
• undefined

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

log₁₆(4) = y

• y = 2
• y = 4
• y = (1/2)
• y = (1/4)

If possible, write this as a single logarithm: 

 $\log_{\frac{1}{2}}4\ +\log_{\frac{1}{2}}2\ -\log_{\frac{1}{2}}5$  

•  $\log_{\frac{1}{2}}1$  

•  $\log_{\frac{1}{2}}\left(\frac{8}{5}\right)$  

•  $\log_1\left(\frac{1}{2}\right)$  

• Not Possible

Simplifying using the laws of logarithms

• log(10)

• log(21)

• log(343)

• log(4)

Simplifying using the laws of logarithms

• log(10)

• log(3)

• log(20)

• log(75)