2023 - 2024 - Logarithmic Equations

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

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

log₉(x)+log₉(x+2)=log₉(35)

• 5
• -7
• 5, -7
• -7, -13

log(216)=(x-4)log(6)

• 1
• 3
• 7
• 0

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)
• log₁₀ 7 + log₁₀ x
• 7log₁₀ x
• xlog₁₀ 7

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₂(x² - 6) = log₂(2x+2)

• 4, -2

• No Solution

• 4

• -2