Expand and condense using the power rule of logarithms

The video tutorial covers the multiplication of exponents and the concept of raising logarithms to powers. It explains how to expand and condense logarithms using the power rule, providing examples to illustrate these concepts. The tutorial emphasizes the importance of understanding the manipulation of exponents and logarithms in mathematical expressions.

What happens to the exponents when you raise a power to another power?

• They are multiplied.

• They are added together.

• They are subtracted.

• They remain unchanged.

How can you rewrite log base X of N raised to the M power?

• As the difference of log base X of N and M.

• As the sum of log base X of N and M.

• As the multiplication of M and log base X of N.

• As the division of log base X of N by M.

What is the power rule in logarithms used for?

• To add logarithms.

• To divide logarithms.

• To subtract logarithms.

• To expand and condense logarithms.

In the expression log base 7 of X^2, how can it be expanded using the power rule?

• As log base 7 of X plus 2.

• As 2 times log base 7 of X.

• As log base 7 of X minus 2.

• As log base 7 of X divided by 2.

What should you do with the exponent in a logarithmic expression to condense it?

• Add it to the logarithm.

• Subtract it from the logarithm.

• Ignore it.

• Bring it down in front of the logarithm.