Exponential and Logarithmic Form

Solve the exponential equation 4^(x) = 100 using logarithms.

• x = 3.32

• x = 3.51

• x = 3.78

• x = 3.05

Write in logarithmic form.
5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

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CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

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CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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CCSS.HSF.BF.B.5

log₅25 = ?

• 2

• 5

• 25

• 125

log₄1 = 

• 0

• 1

• 4

• DNE

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CCSS.HSF.BF.B.5

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

Write the exponential equation in logarithmic form.

3^(3)=27

log_(3)27=...

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CCSS.HSF.BF.B.5

Write the exponential equation in logarithmic form.

10^(-2)=1/100

log...=...

• 1. 1. 1/100

  2. 2. -2

• 1. -2

  1. 2. 1/100

• 1. 1. 10

  2. 2. -2

• 1. 1. -2

  2. 2. 10

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CCSS.HSF.BF.B.5

Write the exponential equation in logarithmic form.

8^(1)=8.

log_(...)8=1

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CCSS.HSF.BF.B.5