4-5 (b) Exponential & Logarithmic Equations / Inequalities

• A
• B
• C
• D

• A
• B
• C
• D

Solve:  $\log_{10}x=\log_{10}\left(5x-20\right)$  

• x = 5

• x = 4

• x = -5

• x = -4

Solve: $\log_2\left(x^2-6\right)=\log_2\left(2x+2\right)$  

• x = -2

• x = -2 & x = 4

• x = -4

• x = 4

Solve: $\log_2\left(8x+5\right)>\log_2\left(9x-18\right)$  

•  $2<x<23$  

•  $-2<x<23$  

•  $-\frac{5}{8}<x<23$  

•  $\frac{5}{8}<x<23$  

Solve log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

log₈(4x+4)=2

• 15

• 12

• 10

• 3

log₂(x² - 6) = log₂(2x+2)

• 4, -2

• No Solution

• 4

• -2

Write in exponential form.
log₂32 = 5

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

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