MIXED REVIEW: Exponential and Logarithmic Equations

Rewrite 3⁴ = 81 in logarithmic form.

• log₃(4 ) = 81

• log₈₁ ( 3 ) = 4

• log₃ ( 81 ) = 4

• log₄ (81 ) = 3

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CCSS.HSF.BF.B.5

Write in exponential form.
log₂ (32) = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

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

log₄ ( 1 ) = 

• 0
• 1
• 4
• DNE

• log 5x + log 4y

• log 5x - 4log y

• (log 5 + log x) - (log 4 + logy)

• 5log x - 4 logy

Continue solving for x. Which is the correct "step 2"?

• log both sides

• rewrite as an exponential

• nothing, you would not be able to solve it

• divide both sides by 2