Answer:
Power of a quotient property
Step-by-step explanation:
It is power of a quotient property, when you have different bases, whose quotient(division) is raised to the same power, it is equal to dividing, each base raised to same power.
Here, x and y are different bases and 3 is the common power to both of them.
In general for any power, say m :
Because, 
And, 
i.e 
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
l=√(4²+7²)
=√(16+49)
=√(65)
≈8.1 ft
wall is perpendicular to base and ladder is hypotenuse.
applying pythagoras's theorem.
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144= (log_a b- log_a c=log_a (b/c) )
log₄[(20*144)/45]= (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n ⇔ 4^n=64 (log_a x=n ⇔ a^n=x)
4^n=4³ ⇒n=3 (64=4*4*4=4³)
Answer: log₄20-log₄ 45+log₄144=3
