6.3 Rewriting Logarithms

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

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CCSS.HSF.BF.B.5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite 3⁴ = 81 in logarithmic form.

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

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CCSS.HSF.BF.B.5

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

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CCSS.HSF.BF.B.5

log₄1 = 

• 0
• 1
• 4
• DNE

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CCSS.HSF.BF.B.5

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:

log(10,000)=4.

• e⁴=10,000

• 4^10,000=10

• 10⁴=10,000

• 0⁴=10

Tags

CCSS.HSF.BF.B.5

Solve for x

• x = 8

• x = 4

• x = 256

• x = 32

Tags

CCSS.HSF.BF.B.5