Condensing Logarithmic Functions

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x
• 3log 4 + 3log x
• 3log 4 + log x
• log 12 + log x

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Solve for x:  log₆x + log₆(x-5) = 2

• √7
• 9
• 4
• none of these

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

Solve:

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01

• -2

• 0

• 1

• No solution

• 2, 13

• 2, -4

• 4

• 2