Solve Basic Logarithmic Equations

The common logarithm has what base?

• 10
• 0
• e
• -e

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CCSS.HSF.BF.B.5

Using a calculator, solve for x:

2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₂(x+3)=4

• 16

• 13

• 3

• 10

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log_x1000=3

• 1

• 10

• 30

• 3

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CCSS.HSF.BF.B.5

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Tags

TEKS.MATH.2A.5D

TEKS.MATH.2A.5E

TEKS.MATH.P.5H

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

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CCSS.HSF.BF.B.5

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

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CCSS.HSF.BF.B.5

The inverse of a logarithmic function and the logarithmic function do what on a graph?

• The are perpendicular
• They are paralell
• They reflect over the line y=x.
• There is nothing special .

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CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

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CCSS.HSF.BF.B.5