Answer:
log(5/4)
Step-by-step explanation:
You have to apply the properties of logarithms to the given expression in order to obtain a form with a single logarithm.
For example, the quotient rule:
[tex]log(\frac{x}{y}) = log(x) - log (y)[/tex]
In this case, log(x) = log (5/6 ) and log(y)= log (2/3)
Therefore x = 5/6 and y = 2/3
Applying the rule:
log (5/6 )− log (2/3) = [tex]log(\frac{5/6}{2/3})[/tex]
Solving the argument of the logarithm (The division of the fractions)
[tex]\frac{5/6}{2/3} = \frac{(5)(3)}{(6)(2)} =\frac{15}{12} =\frac{5}{4}[/tex]
The equivalent form is:
log(5/4)
