Question

Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.

Answer 1

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:

$log(\frac{x}{y}) = log(x) - log (y)$

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) = $log(\frac{5/6}{2/3})$

Solving the argument of the logarithm (The division of the fractions)

$\frac{5/6}{2/3} = \frac{(5)(3)}{(6)(2)} =\frac{15}{12} =\frac{5}{4}$

The equivalent form is:

log(5/4)