Condensing and expanding using the product rule of exponents

The video tutorial reviews the multiplication of exponents and introduces the concept of logarithms, highlighting their relationship with exponents. It explains the product property of logarithms and provides practice on expanding and condensing logarithmic expressions.

What is the result when multiplying two terms with the same base, such as X^M and X^N?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

How can the expression X = B^Y be rewritten in logarithmic form?

• Y = log base B of X

• X = log base Y of B

• B = log base X of Y

• Y = log base X of B

What is the product property of logarithms for log base X of M * N?

• log base X of M / log base X of N

• log base X of M + log base X of N

• log base X of M - log base X of N

• log base X of M * log base X of N

How can the expression log base 7 of 3X be expanded?

• log base 7 of 3 * log base 7 of X

• log base 7 of 3 - log base 7 of X

• log base 7 of 3 / log base 7 of X

• log base 7 of 3 + log base 7 of X

What is the condensed form of log base 8 of 3 + log base 8 of X^2?

• log base 8 of 3X^2

• log base 8 of 3 + X^2

• log base 8 of 3 / X^2

• log base 8 of 3 - X^2