Expand the logarithm...it is in the description

Question

log₄(3xyz)² expand this and correctly put it in parentheses

Answer 1

log₄ (3xyz)²

 

First use the power rule:

= 2 log₄ (3xyz)

 

Then use the product rule:

= 2 (log₄ 3 + log₄ x + log₄ y + log₄ z)

 

= 2log₄ 3 + 2log₄ x + 2log₄ y + 2log₄ z

 

= log₄ 3²+ 2log₄ x + 2log₄ y + 2log₄ z

 

Finally use the power rule again to simplify the first term

= log₄ 9 + 2log₄ x + 2log₄ y + 2log₄ z