Log Properties to Evaluate

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

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

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

• 7

• 4/9

• 9/4

• 1/7

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

• 152.68

• 188.77

• 4.24

• 8.01

log₉(10)-log₉(x-3) =log₉(72)

• 81/16

• 113/36

• No Solution

• 92/15

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

log₅x - log₅(x+4)=log₅38

• -152/37, -8

• 1/2

• -152/37

• No Solution

log7+log(x²-4)=log35

• -1

• -2

• -3

• -4

Solve log₉ (x - 4) + log₉ (x + 1) = log₉ (x + 5) + log₉ (x - 6)

• 17/2

• -9/16

• 13

• -8