Use the properties of logarithms to expand each expression.

Question

log₃5x³/y

Answer 1

log(a/b) = log a - log b

log aⁿ = nlog a

 

log₃5x³/y = log₃5x³ - log₃y = log₃5 + log₃x³ - log₃y = log₃5 + 3log₃x - log₃y

Answer 2

3 log5 + 3logx-log x

And all logs are base 3