Using the quotient rule of logarithms to condense or put two logarithms back together. We know that the log of base b of x over y is the same thing as log base b of x minus log base b of y.
For this example what we’re actually doing is we’re going from the expanded subtraction version back to a single log. All you have to know is that the first one, log base b of x is going to go in the numerator. Going here that means our x is going to be in the numerator, log base 5 of x over the second one is going to be in the denominator, x plus 3.
Using the quotient rule of logarithms we we’re able to combine these two, condense then down into a single log.