Question

Choose the single logarithmic expression that is equivalent to the one shown.log, 2x-5log, y

Answer 1

Given the Logarithmic Expression:

`log_3\text{ }2x-5log_3\text{ }y`

You can write it has a single Logarithmic Expression as follows:

1. Apply the Power Property of Logarithms:

`mlog_b(n)=log_b(n)^m`

Then:

`=log_3\text{ }2x-log_3\text{ }y^5`

2. Apply the Quotient Property of Logarithms:

`log_b(m)-log_b(n)=log_b((m)/(n))`

Then:

`=log_3\text{ }(2x)/(y^5)`

Hence, the answer is: Second option.