Practice logs

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)

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₈(4x+4)=2

• 15

• 12

• 10

• 3

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

Tags

CCSS.HSF.BF.B.5

This question is SLIGHTLY a challenge but you should all be able to do it!! 
log x - log 8 = 3

• x = 1000
• x = 800
• x = 8000
• x = 100

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Rewrite as a single log:
4 log g - 2 log h

• log (4g/2h)
• log (g⁴/h²)
• log (g⁴ - h²)
• log (2gh)