Combine the logarithmic expression into a single logarithm and then evaluate the logarithm

Question

Combine the logarithmic expression into a single logarithm and then evaluate the logarithm. Log 60 + log 50 – log 3

Answer 1

log 60 + log 50 - log 3 First apply the product rule (multiply)

= log (60 • 50) - log 3

= log 3000 - log 3

= log (3000/3) Then apply the quotient rule (divide)

= log 1000

So log 60 + log 50 - log 3 is condensed to log 1000

Now evaluate log 1000

log 1000 = x

10^x = 1000

so x = 3

log 1000 = 3

Answer 2