4Y = 15Y (15X + 15X+1)=15Y4Y[15X + 15X(151)] =15Y4Y(15X )(1 + 15)=...
12.
4
y
= 15
y
(15
x
+ 15
x+1
)
=15
y
4
y
[15
x
+ 15
x
(15
1
)]
=15
y
4
y
(15
x
)(1 + 15)=15
y
4
y
(15
x
)(16)
=15
y
4
y
(3
x
)(5
x
)(2
4
) = (3
y
)(5
y
)(2
2y
)
Since both sides of the equation are broken down to the product of
prime bases, the respective exponents of like bases must be equal.
2y = 4 so y = 2.
x = y so x = 2.
The correct answer is A.