Logarithms and Exponentials

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 log₁₂(x)=2 to exponential form.

• 12²=x
• 12^x=2
• x²=12
• 2^x=12

Tags

CCSS.HSF.BF.B.5

What is the base of log(x) = 100?

• 1
• x
• 100
• 10

Tags

CCSS.HSF.BF.B.5

What is the base of log₃(x) = 9?

• x
• 3
• 9
• 3^x

Tags

CCSS.HSF.BF.B.5

What is the base of the natural logarithm?

• 1
• 10
• e
• n/a

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄