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 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

Evaluate.

log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

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

Determine whether the function represents exponential growth or exponential decay

• Exponential Growth

• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

Write in exponential form.
log₂32 = 5

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

Tags

CCSS.HSF.BF.B.5

Determine whether the function represents exponential growth or exponential decay

• Exponential growth

• Exponential decay

Tags

CCSS.HSF-IF.C.8B

Solve for y

• y = log 3/ log 4

• y = log 4/ log 4

• y = log 4/ log 3

• y = log 3/ log 3

Tags

CCSS.HSF.BF.B.5

When you want to find the inverse of a function, you first

• Solve for y

• Change to exponential form

• Switch x and y

• Change to logarithmic form

Tags

CCSS.HSF-BF.B.4A