Properties of Natural Logs

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

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

• 152.68

• 188.77

• 4.24

• 8.01

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

The natural logarithm has what base?

• 10

• 0

• e

• -e

• Natural logarithm of x

• Log base 10 of x

• ell enn of ex

• yes

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

The Natural Logarithm, abbreviated "ln" is log base ______

Mathematical Equivalence

ON

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