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:
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) =
Solving the argument of the logarithm (The division of the fractions)
The equivalent form is:
log(5/4)
Answer:
Circle (ii) shifted 5 units left and 6 units up to get the circle (iii).
The radius of the circle is 2 units.
Step-by-step explanation:
The standard form of a circle is
...(i)
where, (h,k) is center and r is radius of the circle.
Consider the given equations of the circle are
...(ii)
...(iii)
From (i) and (ii), we get
So, the center of circle (ii) is (0,0) and radius is 2.
From (i) and (iii), we get
So, the center of circle (iii) is (-5,6) and radius is 2.
Therefore, the circle (ii) shifted 5 units left and 6 units up to get the circle (iii). The radius of the circle is 2 units.