Condense the following: 2 log148 - 2 log14b - 2 log14u

Question

Condense the following: 2 log148 - 2 log14b - 2 log14u

Answer 1

First of all, are you sure your expression is 2log 148?

 

Using the power rule, your expression is equivalent to 

log 148² - log (14b)² - log (14u)²    I wont simplify the first part since I think you may have a typo, but this equals

log 148² - log 196b² - log 196u²     Now use the quotient rule for logs to get

log (148²/196b²*196u²)

 

Hope this helped