Log Applications

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

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

• 152.68

• 188.77

• 4.24

• 8.01

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Solve for x:

• 1

• 2

• .5

• 4

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

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