Logarithms to exponential

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

Tags

CCSS.HSF.BF.B.5

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Tags

CCSS.HSF.BF.B.5

Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3
• 3^(x+2)=8
• 8³=x+2
• 3⁸=x+2

Tags

CCSS.HSF.BF.B.5

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Tags

CCSS.HSF.BF.B.5

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x
• 1^x=y+2
• 10^x=y+2
• x^(y+2)=10

Tags

CCSS.HSF.BF.B.5

Solve for x.
log_x(64)=3

• x=8
• x=4
• x=3
• x=64

Tags

CCSS.HSF.BF.B.5

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSF.BF.B.5

Evaluate.

log₃81=x

• 4

• ¹/₄

• -4

• -¹/₄

Tags

CCSS.HSF.BF.B.5

Any number written to the 0 power is always 1
Example: 8⁰=1

• True
• False

Tags

CCSS.8.EE.A.1

Evaluate log₄1=x

• 1

• 0

• 4

• undefined

Tags

CCSS.HSF.BF.B.5