Answer:
A.
B.
Step-by-step explanation:
Given expression:
Using properties of logarithm we can write the expression in various equivalent forms:
1) Using quotient rule :
⇒
Reducing to simple fraction by dividing numerator and denominator by their greatest common factor.
⇒
⇒
2) Plugging in in the expression as
⇒
Using quotient rule again
⇒
Answer:
11: 12
Step-by-step explanation:
Let the number of oranges and pears Mr Lynch have initially be x and p respectively.
x -10= ½p
2(x -10)= p
p= 2x -20 -----(1)
Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.
p= 24
Substitute p= 24 into (1):
2x -20= 24
2x= 24 +20 <em>(</em><em>+</em><em>2</em><em>0</em><em> </em><em>on </em><em>both </em><em>sides</em><em>)</em>
2x= 44
x= 44 ÷2
x= 22
Thus the ratio of orange to pears in the beginning is 11: 12.
