Question

If 27 × 32 = 3^x × 2^y; find the values of x and y.

27 × 32 = 3^x × 2^y 

27 = 3^x 

3	27
3	9
3	3
	1

Answer 1

27 = 3 × 3 × 3 = 3³ = 3^x 

∴ x = 3^x 

Also, 32 = 2^y 

2	32
2	16
2	8
2	4
2	2
	1

 

 

 

 

 

 

32 = 2 × 2 × 2 × 2 × 2

= 2⁵ = 2^y 

∴ y = 5