Practice Logarithms Ln

Expand the expression:

Condense to a single logarithm (hint - start with what's inside of the parentheses and always go left to right, just like you are reading a book):

Answer explanation

Ask your teacher!

Use the properties of logarithms to write this expression as a sum, difference, and/or constant multiple of logarithms (aka EXPAND the expression): \log\ \frac{y}{2}

Answer explanation

Answer explanation

Rewrite the cube root as t^1/3 first.  Then, use the power property of logs.

Answer explanation

The square root is the 1/2 power.

Expand the expression using the properties of logarithms.

Answer explanation

Power prop first, then quotient prop.

Expand the expression using the properties of logarithms.

Answer explanation

$Use\ the\ power\ property\ twice,\ and\ quotient\ property$

Answer explanation

Use the quotient property

Answer explanation

Quotient Property

Condense to a single logarithm (hint - start inside of the grouping symbol):

Answer explanation

Another one to ask teach about!