Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.
log (13/5) + log( 5/4)

  log(13/4)

Step-by-step explanation:

The property of logarithms of interest here is ...

  log(a) + log(b) = log(ab)

Using a=13/5 and b=5/4, we find ...

  log(13/5) + log(5/4) = log((13/5)(5/4)) = log(13/4)

Arational number, by definition, is a number that can be expressed as a quotient of two integers.every integer is a rational number because integers have an integer numerator and integer denominator (of 1).for example, 3 is the same as 3/1.3 can be expressed as a quotient of two integers, so it is a rational number.not all rational numbers are integers because of fractions. an integer would imply a result of a perfect division. not all integers go evenly into each other.consider 4/2. this divides evenly to become 2.but 1/2 is 0.5 in decimal form. 2 does not go evenly into 1.