Exponentials & Logarithms

Evaluate.

log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Determine whether the function represents exponential growth or exponential decay

• Exponential Growth

• Exponential Decay

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

When you get stuck in the logarithmic form, you switch to

• Natural logarithm form

• Exponential form

• Common logarithm

• Logarithm base b

What is the base of log₃(x) = 9?

• x
• 3
• 9
• 3^x

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

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 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

CCSS.HSF.LE.A.4